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Finding the Fourth Proportional to 5,745.15, 8,618.31 and 1,585.15

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Solution

The fourth proportional to 5,745.15, 8,618.31 and 1,585.15 is: 2,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.15 : 8,618.31 = 1,585.15 : x
  2. Step 2: Convert to fraction form
    5,745.15/8,618.31 = 1,585.15/x
  3. Step 3: Cross multiply
    5,745.15x = 8,618.31 × 1,585.15
  4. Step 4: Simplify right side
    5,745.15x = 13,661,292.55
  5. Step 5: Solve for x
    x = 13,661,292.55/5,745.15
  6. Step 6: Final answer
    x = 2,377.88

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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.