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Finding the Fourth Proportional to 5,664.13, 8,496.09 and 1,504.01

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Solution

The fourth proportional to 5,664.13, 8,496.09 and 1,504.01 is: 2,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.13 : 8,496.09 = 1,504.01 : x
  2. Step 2: Convert to fraction form
    5,664.13/8,496.09 = 1,504.01/x
  3. Step 3: Cross multiply
    5,664.13x = 8,496.09 × 1,504.01
  4. Step 4: Simplify right side
    5,664.13x = 12,778,225.56
  5. Step 5: Solve for x
    x = 12,778,225.56/5,664.13
  6. Step 6: Final answer
    x = 2,255.99

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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.