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Finding the Fourth Proportional to 3,729.74, 5,594.20 and 956.48

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Solution

The fourth proportional to 3,729.74, 5,594.20 and 956.48 is: 1,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.74 : 5,594.20 = 956.48 : x
  2. Step 2: Convert to fraction form
    3,729.74/5,594.20 = 956.48/x
  3. Step 3: Cross multiply
    3,729.74x = 5,594.20 × 956.48
  4. Step 4: Simplify right side
    3,729.74x = 5,350,750.73
  5. Step 5: Solve for x
    x = 5,350,750.73/3,729.74
  6. Step 6: Final answer
    x = 1,434.62

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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.