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Finding the Fourth Proportional to 3,509.28, 5,265.17 and 1,754.15

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Solution

The fourth proportional to 3,509.28, 5,265.17 and 1,754.15 is: 2,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.28 : 5,265.17 = 1,754.15 : x
  2. Step 2: Convert to fraction form
    3,509.28/5,265.17 = 1,754.15/x
  3. Step 3: Cross multiply
    3,509.28x = 5,265.17 × 1,754.15
  4. Step 4: Simplify right side
    3,509.28x = 9,235,862.86
  5. Step 5: Solve for x
    x = 9,235,862.86/3,509.28
  6. Step 6: Final answer
    x = 2,631.84

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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.