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Finding the Fourth Proportional to 5,751.72, 7,937.28 and 3,513.24

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Solution

The fourth proportional to 5,751.72, 7,937.28 and 3,513.24 is: 4,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.72 : 7,937.28 = 3,513.24 : x
  2. Step 2: Convert to fraction form
    5,751.72/7,937.28 = 3,513.24/x
  3. Step 3: Cross multiply
    5,751.72x = 7,937.28 × 3,513.24
  4. Step 4: Simplify right side
    5,751.72x = 27,885,569.59
  5. Step 5: Solve for x
    x = 27,885,569.59/5,751.72
  6. Step 6: Final answer
    x = 4,848.21

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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.