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Finding the Fourth Proportional to 3,572.64, 5,359.68 and 3,025.92

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Solution

The fourth proportional to 3,572.64, 5,359.68 and 3,025.92 is: 4,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.64 : 5,359.68 = 3,025.92 : x
  2. Step 2: Convert to fraction form
    3,572.64/5,359.68 = 3,025.92/x
  3. Step 3: Cross multiply
    3,572.64x = 5,359.68 × 3,025.92
  4. Step 4: Simplify right side
    3,572.64x = 16,217,962.91
  5. Step 5: Solve for x
    x = 16,217,962.91/3,572.64
  6. Step 6: Final answer
    x = 4,539.49

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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.