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Finding the Fourth Proportional to 4,943.74, 7,414.32 and 1,432.92

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Solution

The fourth proportional to 4,943.74, 7,414.32 and 1,432.92 is: 2,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.74 : 7,414.32 = 1,432.92 : x
  2. Step 2: Convert to fraction form
    4,943.74/7,414.32 = 1,432.92/x
  3. Step 3: Cross multiply
    4,943.74x = 7,414.32 × 1,432.92
  4. Step 4: Simplify right side
    4,943.74x = 10,624,127.41
  5. Step 5: Solve for x
    x = 10,624,127.41/4,943.74
  6. Step 6: Final answer
    x = 2,149.01

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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.