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Finding the Fourth Proportional to 3,567.68, 5,350 and 1,374.88

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Solution

The fourth proportional to 3,567.68, 5,350 and 1,374.88 is: 2,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.68 : 5,350 = 1,374.88 : x
  2. Step 2: Convert to fraction form
    3,567.68/5,350 = 1,374.88/x
  3. Step 3: Cross multiply
    3,567.68x = 5,350 × 1,374.88
  4. Step 4: Simplify right side
    3,567.68x = 7,355,608.00
  5. Step 5: Solve for x
    x = 7,355,608.00/3,567.68
  6. Step 6: Final answer
    x = 2,061.73

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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.