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Finding the Fourth Proportional to 5,706,564.75, 8,559,696.47 and 1,664,168.22

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Solution

The fourth proportional to 5,706,564.75, 8,559,696.47 and 1,664,168.22 is: 2,496,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706,564.75 : 8,559,696.47 = 1,664,168.22 : x
  2. Step 2: Convert to fraction form
    5,706,564.75/8,559,696.47 = 1,664,168.22/x
  3. Step 3: Cross multiply
    5,706,564.75x = 8,559,696.47 × 1,664,168.22
  4. Step 4: Simplify right side
    5,706,564.75x = 14,244,774,829,899.34
  5. Step 5: Solve for x
    x = 14,244,774,829,899.34/5,706,564.75
  6. Step 6: Final answer
    x = 2,496,208.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.