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Finding the Fourth Proportional to 3,930.76, 5,422.32 and 3,301.96

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Solution

The fourth proportional to 3,930.76, 5,422.32 and 3,301.96 is: 4,554.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.76 : 5,422.32 = 3,301.96 : x
  2. Step 2: Convert to fraction form
    3,930.76/5,422.32 = 3,301.96/x
  3. Step 3: Cross multiply
    3,930.76x = 5,422.32 × 3,301.96
  4. Step 4: Simplify right side
    3,930.76x = 17,904,283.75
  5. Step 5: Solve for x
    x = 17,904,283.75/3,930.76
  6. Step 6: Final answer
    x = 4,554.92

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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.