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Finding the Fourth Proportional to 3,927.68, 5,891.72 and 1,461.92

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Solution

The fourth proportional to 3,927.68, 5,891.72 and 1,461.92 is: 2,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.68 : 5,891.72 = 1,461.92 : x
  2. Step 2: Convert to fraction form
    3,927.68/5,891.72 = 1,461.92/x
  3. Step 3: Cross multiply
    3,927.68x = 5,891.72 × 1,461.92
  4. Step 4: Simplify right side
    3,927.68x = 8,613,223.30
  5. Step 5: Solve for x
    x = 8,613,223.30/3,927.68
  6. Step 6: Final answer
    x = 2,192.95

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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.