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Finding the Fourth Proportional to 5,748.72, 7,937.10 and 3,863.10

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Solution

The fourth proportional to 5,748.72, 7,937.10 and 3,863.10 is: 5,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.72 : 7,937.10 = 3,863.10 : x
  2. Step 2: Convert to fraction form
    5,748.72/7,937.10 = 3,863.10/x
  3. Step 3: Cross multiply
    5,748.72x = 7,937.10 × 3,863.10
  4. Step 4: Simplify right side
    5,748.72x = 30,661,811.01
  5. Step 5: Solve for x
    x = 30,661,811.01/5,748.72
  6. Step 6: Final answer
    x = 5,333.68

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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.