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Finding the Fourth Proportional to 3,817.61, 5,752.42 and 3,139.47

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Solution

The fourth proportional to 3,817.61, 5,752.42 and 3,139.47 is: 4,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.61 : 5,752.42 = 3,139.47 : x
  2. Step 2: Convert to fraction form
    3,817.61/5,752.42 = 3,139.47/x
  3. Step 3: Cross multiply
    3,817.61x = 5,752.42 × 3,139.47
  4. Step 4: Simplify right side
    3,817.61x = 18,059,535.64
  5. Step 5: Solve for x
    x = 18,059,535.64/3,817.61
  6. Step 6: Final answer
    x = 4,730.59

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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.