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Finding the Fourth Proportional to 5,597.92, 8,389.20 and 3,542.24

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Solution

The fourth proportional to 5,597.92, 8,389.20 and 3,542.24 is: 5,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.92 : 8,389.20 = 3,542.24 : x
  2. Step 2: Convert to fraction form
    5,597.92/8,389.20 = 3,542.24/x
  3. Step 3: Cross multiply
    5,597.92x = 8,389.20 × 3,542.24
  4. Step 4: Simplify right side
    5,597.92x = 29,716,559.81
  5. Step 5: Solve for x
    x = 29,716,559.81/5,597.92
  6. Step 6: Final answer
    x = 5,308.50

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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.