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Finding the Fourth Proportional to 5,747.40, 7,931.19 and 3,513.03

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Solution

The fourth proportional to 5,747.40, 7,931.19 and 3,513.03 is: 4,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.40 : 7,931.19 = 3,513.03 : x
  2. Step 2: Convert to fraction form
    5,747.40/7,931.19 = 3,513.03/x
  3. Step 3: Cross multiply
    5,747.40x = 7,931.19 × 3,513.03
  4. Step 4: Simplify right side
    5,747.40x = 27,862,508.41
  5. Step 5: Solve for x
    x = 27,862,508.41/5,747.40
  6. Step 6: Final answer
    x = 4,847.85

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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.