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Finding the Fourth Proportional to 4,471.96, 6,708.56 and 1,549.90

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Solution

The fourth proportional to 4,471.96, 6,708.56 and 1,549.90 is: 2,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.96 : 6,708.56 = 1,549.90 : x
  2. Step 2: Convert to fraction form
    4,471.96/6,708.56 = 1,549.90/x
  3. Step 3: Cross multiply
    4,471.96x = 6,708.56 × 1,549.90
  4. Step 4: Simplify right side
    4,471.96x = 10,397,597.14
  5. Step 5: Solve for x
    x = 10,397,597.14/4,471.96
  6. Step 6: Final answer
    x = 2,325.06

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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.