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Finding the Fourth Proportional to 3,140.52, 4,711.50 and 1,361.87

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Solution

The fourth proportional to 3,140.52, 4,711.50 and 1,361.87 is: 2,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.52 : 4,711.50 = 1,361.87 : x
  2. Step 2: Convert to fraction form
    3,140.52/4,711.50 = 1,361.87/x
  3. Step 3: Cross multiply
    3,140.52x = 4,711.50 × 1,361.87
  4. Step 4: Simplify right side
    3,140.52x = 6,416,471.12
  5. Step 5: Solve for x
    x = 6,416,471.12/3,140.52
  6. Step 6: Final answer
    x = 2,043.12

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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.