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Finding the Fourth Proportional to 3,147.54, 4,721.99 and 956.43

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Solution

The fourth proportional to 3,147.54, 4,721.99 and 956.43 is: 1,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.54 : 4,721.99 = 956.43 : x
  2. Step 2: Convert to fraction form
    3,147.54/4,721.99 = 956.43/x
  3. Step 3: Cross multiply
    3,147.54x = 4,721.99 × 956.43
  4. Step 4: Simplify right side
    3,147.54x = 4,516,252.90
  5. Step 5: Solve for x
    x = 4,516,252.90/3,147.54
  6. Step 6: Final answer
    x = 1,434.85

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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.