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Finding the Fourth Proportional to 3,272.19, 4,908.24 and 932.16

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Solution

The fourth proportional to 3,272.19, 4,908.24 and 932.16 is: 1,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.19 : 4,908.24 = 932.16 : x
  2. Step 2: Convert to fraction form
    3,272.19/4,908.24 = 932.16/x
  3. Step 3: Cross multiply
    3,272.19x = 4,908.24 × 932.16
  4. Step 4: Simplify right side
    3,272.19x = 4,575,265.00
  5. Step 5: Solve for x
    x = 4,575,265.00/3,272.19
  6. Step 6: Final answer
    x = 1,398.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.