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Finding the Fourth Proportional to 5,874.13, 8,113.44 and 4,278.25

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Solution

The fourth proportional to 5,874.13, 8,113.44 and 4,278.25 is: 5,909.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.13 : 8,113.44 = 4,278.25 : x
  2. Step 2: Convert to fraction form
    5,874.13/8,113.44 = 4,278.25/x
  3. Step 3: Cross multiply
    5,874.13x = 8,113.44 × 4,278.25
  4. Step 4: Simplify right side
    5,874.13x = 34,711,324.68
  5. Step 5: Solve for x
    x = 34,711,324.68/5,874.13
  6. Step 6: Final answer
    x = 5,909.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.