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Finding the Fourth Proportional to 3,566.82, 5,350.50 and 969.78

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Solution

The fourth proportional to 3,566.82, 5,350.50 and 969.78 is: 1,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.82 : 5,350.50 = 969.78 : x
  2. Step 2: Convert to fraction form
    3,566.82/5,350.50 = 969.78/x
  3. Step 3: Cross multiply
    3,566.82x = 5,350.50 × 969.78
  4. Step 4: Simplify right side
    3,566.82x = 5,188,807.89
  5. Step 5: Solve for x
    x = 5,188,807.89/3,566.82
  6. Step 6: Final answer
    x = 1,454.74

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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.