Home / 3,140.24-4,711.10-949.14

Finding the Fourth Proportional to 3,140.24, 4,711.10 and 949.14

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Solution

The fourth proportional to 3,140.24, 4,711.10 and 949.14 is: 1,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.24 : 4,711.10 = 949.14 : x
  2. Step 2: Convert to fraction form
    3,140.24/4,711.10 = 949.14/x
  3. Step 3: Cross multiply
    3,140.24x = 4,711.10 × 949.14
  4. Step 4: Simplify right side
    3,140.24x = 4,471,493.45
  5. Step 5: Solve for x
    x = 4,471,493.45/3,140.24
  6. Step 6: Final answer
    x = 1,423.93

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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.