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Finding the Fourth Proportional to 3,147.04, 4,721.17 and 956.09

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Solution

The fourth proportional to 3,147.04, 4,721.17 and 956.09 is: 1,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.04 : 4,721.17 = 956.09 : x
  2. Step 2: Convert to fraction form
    3,147.04/4,721.17 = 956.09/x
  3. Step 3: Cross multiply
    3,147.04x = 4,721.17 × 956.09
  4. Step 4: Simplify right side
    3,147.04x = 4,513,863.43
  5. Step 5: Solve for x
    x = 4,513,863.43/3,147.04
  6. Step 6: Final answer
    x = 1,434.32

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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.