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Finding the Fourth Proportional to 5,480.38, 8,227.66 and 4,705.42

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Solution

The fourth proportional to 5,480.38, 8,227.66 and 4,705.42 is: 7,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.38 : 8,227.66 = 4,705.42 : x
  2. Step 2: Convert to fraction form
    5,480.38/8,227.66 = 4,705.42/x
  3. Step 3: Cross multiply
    5,480.38x = 8,227.66 × 4,705.42
  4. Step 4: Simplify right side
    5,480.38x = 38,714,595.92
  5. Step 5: Solve for x
    x = 38,714,595.92/5,480.38
  6. Step 6: Final answer
    x = 7,064.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.