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Finding the Fourth Proportional to 5,265.15, 7,895.42 and 1,567.60

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Solution

The fourth proportional to 5,265.15, 7,895.42 and 1,567.60 is: 2,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.15 : 7,895.42 = 1,567.60 : x
  2. Step 2: Convert to fraction form
    5,265.15/7,895.42 = 1,567.60/x
  3. Step 3: Cross multiply
    5,265.15x = 7,895.42 × 1,567.60
  4. Step 4: Simplify right side
    5,265.15x = 12,376,891.92
  5. Step 5: Solve for x
    x = 12,376,891.92/5,265.15
  6. Step 6: Final answer
    x = 2,350.72

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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.