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Finding the Fourth Proportional to 3,141.32, 4,712.70 and 949.96

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Solution

The fourth proportional to 3,141.32, 4,712.70 and 949.96 is: 1,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.32 : 4,712.70 = 949.96 : x
  2. Step 2: Convert to fraction form
    3,141.32/4,712.70 = 949.96/x
  3. Step 3: Cross multiply
    3,141.32x = 4,712.70 × 949.96
  4. Step 4: Simplify right side
    3,141.32x = 4,476,876.49
  5. Step 5: Solve for x
    x = 4,476,876.49/3,141.32
  6. Step 6: Final answer
    x = 1,425.16

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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.