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Finding the Fourth Proportional to 3,566.16, 5,348.66 and 1,067.30

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Solution

The fourth proportional to 3,566.16, 5,348.66 and 1,067.30 is: 1,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.16 : 5,348.66 = 1,067.30 : x
  2. Step 2: Convert to fraction form
    3,566.16/5,348.66 = 1,067.30/x
  3. Step 3: Cross multiply
    3,566.16x = 5,348.66 × 1,067.30
  4. Step 4: Simplify right side
    3,566.16x = 5,708,624.82
  5. Step 5: Solve for x
    x = 5,708,624.82/3,566.16
  6. Step 6: Final answer
    x = 1,600.78

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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.