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Finding the Fourth Proportional to 3,874.68, 5,808.96 and 2,118.60

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Solution

The fourth proportional to 3,874.68, 5,808.96 and 2,118.60 is: 3,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.68 : 5,808.96 = 2,118.60 : x
  2. Step 2: Convert to fraction form
    3,874.68/5,808.96 = 2,118.60/x
  3. Step 3: Cross multiply
    3,874.68x = 5,808.96 × 2,118.60
  4. Step 4: Simplify right side
    3,874.68x = 12,306,862.66
  5. Step 5: Solve for x
    x = 12,306,862.66/3,874.68
  6. Step 6: Final answer
    x = 3,176.23

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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.