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Finding the Fourth Proportional to 3,817.86, 5,752.80 and 3,139.72

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Solution

The fourth proportional to 3,817.86, 5,752.80 and 3,139.72 is: 4,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.86 : 5,752.80 = 3,139.72 : x
  2. Step 2: Convert to fraction form
    3,817.86/5,752.80 = 3,139.72/x
  3. Step 3: Cross multiply
    3,817.86x = 5,752.80 × 3,139.72
  4. Step 4: Simplify right side
    3,817.86x = 18,062,136.75
  5. Step 5: Solve for x
    x = 18,062,136.75/3,817.86
  6. Step 6: Final answer
    x = 4,730.96

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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.