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Finding the Fourth Proportional to 6,596.28, 9,102.42 and 3,801.78

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Solution

The fourth proportional to 6,596.28, 9,102.42 and 3,801.78 is: 5,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.28 : 9,102.42 = 3,801.78 : x
  2. Step 2: Convert to fraction form
    6,596.28/9,102.42 = 3,801.78/x
  3. Step 3: Cross multiply
    6,596.28x = 9,102.42 × 3,801.78
  4. Step 4: Simplify right side
    6,596.28x = 34,605,398.31
  5. Step 5: Solve for x
    x = 34,605,398.31/6,596.28
  6. Step 6: Final answer
    x = 5,246.20

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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.