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Finding the Fourth Proportional to 6,583.92, 9,086.67 and 3,752.31

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Solution

The fourth proportional to 6,583.92, 9,086.67 and 3,752.31 is: 5,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.92 : 9,086.67 = 3,752.31 : x
  2. Step 2: Convert to fraction form
    6,583.92/9,086.67 = 3,752.31/x
  3. Step 3: Cross multiply
    6,583.92x = 9,086.67 × 3,752.31
  4. Step 4: Simplify right side
    6,583.92x = 34,096,002.71
  5. Step 5: Solve for x
    x = 34,096,002.71/6,583.92
  6. Step 6: Final answer
    x = 5,178.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.