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Finding the Fourth Proportional to 4,471.66, 6,707.49 and 1,549.97

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Solution

The fourth proportional to 4,471.66, 6,707.49 and 1,549.97 is: 2,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.66 : 6,707.49 = 1,549.97 : x
  2. Step 2: Convert to fraction form
    4,471.66/6,707.49 = 1,549.97/x
  3. Step 3: Cross multiply
    4,471.66x = 6,707.49 × 1,549.97
  4. Step 4: Simplify right side
    4,471.66x = 10,396,393.13
  5. Step 5: Solve for x
    x = 10,396,393.13/4,471.66
  6. Step 6: Final answer
    x = 2,324.95

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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.