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Finding the Fourth Proportional to 3,874.60, 5,832.98 and 3,530.15

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Solution

The fourth proportional to 3,874.60, 5,832.98 and 3,530.15 is: 5,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.60 : 5,832.98 = 3,530.15 : x
  2. Step 2: Convert to fraction form
    3,874.60/5,832.98 = 3,530.15/x
  3. Step 3: Cross multiply
    3,874.60x = 5,832.98 × 3,530.15
  4. Step 4: Simplify right side
    3,874.60x = 20,591,247.53
  5. Step 5: Solve for x
    x = 20,591,247.53/3,874.60
  6. Step 6: Final answer
    x = 5,314.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.