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Finding the Fourth Proportional to 3,729.71, 5,594.56 and 956.30

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Solution

The fourth proportional to 3,729.71, 5,594.56 and 956.30 is: 1,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.71 : 5,594.56 = 956.30 : x
  2. Step 2: Convert to fraction form
    3,729.71/5,594.56 = 956.30/x
  3. Step 3: Cross multiply
    3,729.71x = 5,594.56 × 956.30
  4. Step 4: Simplify right side
    3,729.71x = 5,350,047.36
  5. Step 5: Solve for x
    x = 5,350,047.36/3,729.71
  6. Step 6: Final answer
    x = 1,434.44

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Why These Related Problems?

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