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Finding the Fourth Proportional to 3,522.16, 5,267.68 and 3,134.92

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Solution

The fourth proportional to 3,522.16, 5,267.68 and 3,134.92 is: 4,688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.16 : 5,267.68 = 3,134.92 : x
  2. Step 2: Convert to fraction form
    3,522.16/5,267.68 = 3,134.92/x
  3. Step 3: Cross multiply
    3,522.16x = 5,267.68 × 3,134.92
  4. Step 4: Simplify right side
    3,522.16x = 16,513,755.39
  5. Step 5: Solve for x
    x = 16,513,755.39/3,522.16
  6. Step 6: Final answer
    x = 4,688.53

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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.