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Finding the Fourth Proportional to 3,248.02, 4,871.76 and 939.52

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Solution

The fourth proportional to 3,248.02, 4,871.76 and 939.52 is: 1,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.02 : 4,871.76 = 939.52 : x
  2. Step 2: Convert to fraction form
    3,248.02/4,871.76 = 939.52/x
  3. Step 3: Cross multiply
    3,248.02x = 4,871.76 × 939.52
  4. Step 4: Simplify right side
    3,248.02x = 4,577,115.96
  5. Step 5: Solve for x
    x = 4,577,115.96/3,248.02
  6. Step 6: Final answer
    x = 1,409.20

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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.