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Finding the Fourth Proportional to 3,140.32, 4,711.11 and 949.24

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Solution

The fourth proportional to 3,140.32, 4,711.11 and 949.24 is: 1,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.32 : 4,711.11 = 949.24 : x
  2. Step 2: Convert to fraction form
    3,140.32/4,711.11 = 949.24/x
  3. Step 3: Cross multiply
    3,140.32x = 4,711.11 × 949.24
  4. Step 4: Simplify right side
    3,140.32x = 4,471,974.06
  5. Step 5: Solve for x
    x = 4,471,974.06/3,140.32
  6. Step 6: Final answer
    x = 1,424.05

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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.