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Finding the Fourth Proportional to 3,546.92, 5,320.82 and 1,572.57

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Solution

The fourth proportional to 3,546.92, 5,320.82 and 1,572.57 is: 2,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.92 : 5,320.82 = 1,572.57 : x
  2. Step 2: Convert to fraction form
    3,546.92/5,320.82 = 1,572.57/x
  3. Step 3: Cross multiply
    3,546.92x = 5,320.82 × 1,572.57
  4. Step 4: Simplify right side
    3,546.92x = 8,367,354.04
  5. Step 5: Solve for x
    x = 8,367,354.04/3,546.92
  6. Step 6: Final answer
    x = 2,359.05

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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.