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Finding the Fourth Proportional to 3,568.20, 5,352.30 and 935.70

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Solution

The fourth proportional to 3,568.20, 5,352.30 and 935.70 is: 1,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.20 : 5,352.30 = 935.70 : x
  2. Step 2: Convert to fraction form
    3,568.20/5,352.30 = 935.70/x
  3. Step 3: Cross multiply
    3,568.20x = 5,352.30 × 935.70
  4. Step 4: Simplify right side
    3,568.20x = 5,008,147.11
  5. Step 5: Solve for x
    x = 5,008,147.11/3,568.20
  6. Step 6: Final answer
    x = 1,403.55

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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.