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Finding the Fourth Proportional to 3,421.55, 5,132.39 and 1,572.16

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Solution

The fourth proportional to 3,421.55, 5,132.39 and 1,572.16 is: 2,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.55 : 5,132.39 = 1,572.16 : x
  2. Step 2: Convert to fraction form
    3,421.55/5,132.39 = 1,572.16/x
  3. Step 3: Cross multiply
    3,421.55x = 5,132.39 × 1,572.16
  4. Step 4: Simplify right side
    3,421.55x = 8,068,904.74
  5. Step 5: Solve for x
    x = 8,068,904.74/3,421.55
  6. Step 6: Final answer
    x = 2,358.26

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