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Finding the Fourth Proportional to 5,747.49, 7,931.31 and 3,513.09

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Solution

The fourth proportional to 5,747.49, 7,931.31 and 3,513.09 is: 4,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.49 : 7,931.31 = 3,513.09 : x
  2. Step 2: Convert to fraction form
    5,747.49/7,931.31 = 3,513.09/x
  3. Step 3: Cross multiply
    5,747.49x = 7,931.31 × 3,513.09
  4. Step 4: Simplify right side
    5,747.49x = 27,863,405.85
  5. Step 5: Solve for x
    x = 27,863,405.85/5,747.49
  6. Step 6: Final answer
    x = 4,847.93

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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.