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Finding the Fourth Proportional to 3,147.59, 4,721.50 and 956.31

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Solution

The fourth proportional to 3,147.59, 4,721.50 and 956.31 is: 1,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.59 : 4,721.50 = 956.31 : x
  2. Step 2: Convert to fraction form
    3,147.59/4,721.50 = 956.31/x
  3. Step 3: Cross multiply
    3,147.59x = 4,721.50 × 956.31
  4. Step 4: Simplify right side
    3,147.59x = 4,515,224.69
  5. Step 5: Solve for x
    x = 4,515,224.69/3,147.59
  6. Step 6: Final answer
    x = 1,434.50

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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.