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Finding the Fourth Proportional to 3,567.20, 5,350.38 and 969.52

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Solution

The fourth proportional to 3,567.20, 5,350.38 and 969.52 is: 1,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.20 : 5,350.38 = 969.52 : x
  2. Step 2: Convert to fraction form
    3,567.20/5,350.38 = 969.52/x
  3. Step 3: Cross multiply
    3,567.20x = 5,350.38 × 969.52
  4. Step 4: Simplify right side
    3,567.20x = 5,187,300.42
  5. Step 5: Solve for x
    x = 5,187,300.42/3,567.20
  6. Step 6: Final answer
    x = 1,454.17

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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.