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Finding the Fourth Proportional to 3,397.94, 5,096.90 and 932.77

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Solution

The fourth proportional to 3,397.94, 5,096.90 and 932.77 is: 1,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.94 : 5,096.90 = 932.77 : x
  2. Step 2: Convert to fraction form
    3,397.94/5,096.90 = 932.77/x
  3. Step 3: Cross multiply
    3,397.94x = 5,096.90 × 932.77
  4. Step 4: Simplify right side
    3,397.94x = 4,754,209.93
  5. Step 5: Solve for x
    x = 4,754,209.93/3,397.94
  6. Step 6: Final answer
    x = 1,399.15

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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.