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Finding the Fourth Proportional to 3,147.88, 4,722.08 and 956.63

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Solution

The fourth proportional to 3,147.88, 4,722.08 and 956.63 is: 1,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.88 : 4,722.08 = 956.63 : x
  2. Step 2: Convert to fraction form
    3,147.88/4,722.08 = 956.63/x
  3. Step 3: Cross multiply
    3,147.88x = 4,722.08 × 956.63
  4. Step 4: Simplify right side
    3,147.88x = 4,517,262.17
  5. Step 5: Solve for x
    x = 4,517,262.17/3,147.88
  6. Step 6: Final answer
    x = 1,435.02

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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.