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Finding the Fourth Proportional to 4,932.67, 6,809.84 and 3,422.47

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Solution

The fourth proportional to 4,932.67, 6,809.84 and 3,422.47 is: 4,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.67 : 6,809.84 = 3,422.47 : x
  2. Step 2: Convert to fraction form
    4,932.67/6,809.84 = 3,422.47/x
  3. Step 3: Cross multiply
    4,932.67x = 6,809.84 × 3,422.47
  4. Step 4: Simplify right side
    4,932.67x = 23,306,473.10
  5. Step 5: Solve for x
    x = 23,306,473.10/4,932.67
  6. Step 6: Final answer
    x = 4,724.92

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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.