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Finding the Fourth Proportional to 5,572.25, 7,688.17 and 3,446.75

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Solution

The fourth proportional to 5,572.25, 7,688.17 and 3,446.75 is: 4,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.25 : 7,688.17 = 3,446.75 : x
  2. Step 2: Convert to fraction form
    5,572.25/7,688.17 = 3,446.75/x
  3. Step 3: Cross multiply
    5,572.25x = 7,688.17 × 3,446.75
  4. Step 4: Simplify right side
    5,572.25x = 26,499,182.71
  5. Step 5: Solve for x
    x = 26,499,182.71/5,572.25
  6. Step 6: Final answer
    x = 4,755.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.