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Finding the Fourth Proportional to 6,337.71, 8,744.28 and 3,648.81

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Solution

The fourth proportional to 6,337.71, 8,744.28 and 3,648.81 is: 5,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.71 : 8,744.28 = 3,648.81 : x
  2. Step 2: Convert to fraction form
    6,337.71/8,744.28 = 3,648.81/x
  3. Step 3: Cross multiply
    6,337.71x = 8,744.28 × 3,648.81
  4. Step 4: Simplify right side
    6,337.71x = 31,906,216.31
  5. Step 5: Solve for x
    x = 31,906,216.31/6,337.71
  6. Step 6: Final answer
    x = 5,034.34

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