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Finding the Fourth Proportional to 5,407.70, 7,463.14 and 3,049.79

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Solution

The fourth proportional to 5,407.70, 7,463.14 and 3,049.79 is: 4,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.70 : 7,463.14 = 3,049.79 : x
  2. Step 2: Convert to fraction form
    5,407.70/7,463.14 = 3,049.79/x
  3. Step 3: Cross multiply
    5,407.70x = 7,463.14 × 3,049.79
  4. Step 4: Simplify right side
    5,407.70x = 22,760,964.80
  5. Step 5: Solve for x
    x = 22,760,964.80/5,407.70
  6. Step 6: Final answer
    x = 4,209.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.