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Finding the Fourth Proportional to 4,687.81, 7,042.67 and 4,031.71

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Solution

The fourth proportional to 4,687.81, 7,042.67 and 4,031.71 is: 6,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.81 : 7,042.67 = 4,031.71 : x
  2. Step 2: Convert to fraction form
    4,687.81/7,042.67 = 4,031.71/x
  3. Step 3: Cross multiply
    4,687.81x = 7,042.67 × 4,031.71
  4. Step 4: Simplify right side
    4,687.81x = 28,394,003.07
  5. Step 5: Solve for x
    x = 28,394,003.07/4,687.81
  6. Step 6: Final answer
    x = 6,056.99

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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.