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Finding the Fourth Proportional to 2,587.86, 3,863 and 2,395.12

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Solution

The fourth proportional to 2,587.86, 3,863 and 2,395.12 is: 3,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.86 : 3,863 = 2,395.12 : x
  2. Step 2: Convert to fraction form
    2,587.86/3,863 = 2,395.12/x
  3. Step 3: Cross multiply
    2,587.86x = 3,863 × 2,395.12
  4. Step 4: Simplify right side
    2,587.86x = 9,252,348.56
  5. Step 5: Solve for x
    x = 9,252,348.56/2,587.86
  6. Step 6: Final answer
    x = 3,575.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.