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Finding the Fourth Proportional to 3,509.28, 5,265.12 and 1,562.84

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Solution

The fourth proportional to 3,509.28, 5,265.12 and 1,562.84 is: 2,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.28 : 5,265.12 = 1,562.84 : x
  2. Step 2: Convert to fraction form
    3,509.28/5,265.12 = 1,562.84/x
  3. Step 3: Cross multiply
    3,509.28x = 5,265.12 × 1,562.84
  4. Step 4: Simplify right side
    3,509.28x = 8,228,540.14
  5. Step 5: Solve for x
    x = 8,228,540.14/3,509.28
  6. Step 6: Final answer
    x = 2,344.79

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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.