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Finding the Fourth Proportional to 4,098.72, 6,178.08 and 3,748.13

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Solution

The fourth proportional to 4,098.72, 6,178.08 and 3,748.13 is: 5,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.72 : 6,178.08 = 3,748.13 : x
  2. Step 2: Convert to fraction form
    4,098.72/6,178.08 = 3,748.13/x
  3. Step 3: Cross multiply
    4,098.72x = 6,178.08 × 3,748.13
  4. Step 4: Simplify right side
    4,098.72x = 23,156,216.10
  5. Step 5: Solve for x
    x = 23,156,216.10/4,098.72
  6. Step 6: Final answer
    x = 5,649.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.