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Finding the Fourth Proportional to 5,564.75, 8,347.13 and 1,669.16

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Solution

The fourth proportional to 5,564.75, 8,347.13 and 1,669.16 is: 2,503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.75 : 8,347.13 = 1,669.16 : x
  2. Step 2: Convert to fraction form
    5,564.75/8,347.13 = 1,669.16/x
  3. Step 3: Cross multiply
    5,564.75x = 8,347.13 × 1,669.16
  4. Step 4: Simplify right side
    5,564.75x = 13,932,645.43
  5. Step 5: Solve for x
    x = 13,932,645.43/5,564.75
  6. Step 6: Final answer
    x = 2,503.73

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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.