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Finding the Fourth Proportional to 4,761.59, 7,143.84 and 2,131.31

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Solution

The fourth proportional to 4,761.59, 7,143.84 and 2,131.31 is: 3,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.59 : 7,143.84 = 2,131.31 : x
  2. Step 2: Convert to fraction form
    4,761.59/7,143.84 = 2,131.31/x
  3. Step 3: Cross multiply
    4,761.59x = 7,143.84 × 2,131.31
  4. Step 4: Simplify right side
    4,761.59x = 15,225,737.63
  5. Step 5: Solve for x
    x = 15,225,737.63/4,761.59
  6. Step 6: Final answer
    x = 3,197.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.