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Finding the Fourth Proportional to 3,567.50, 5,350.49 and 1,375.50

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Solution

The fourth proportional to 3,567.50, 5,350.49 and 1,375.50 is: 2,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.50 : 5,350.49 = 1,375.50 : x
  2. Step 2: Convert to fraction form
    3,567.50/5,350.49 = 1,375.50/x
  3. Step 3: Cross multiply
    3,567.50x = 5,350.49 × 1,375.50
  4. Step 4: Simplify right side
    3,567.50x = 7,359,599.00
  5. Step 5: Solve for x
    x = 7,359,599.00/3,567.50
  6. Step 6: Final answer
    x = 2,062.96

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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.