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Finding the Fourth Proportional to 3,910.95, 5,862.32 and 1,444.20

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Solution

The fourth proportional to 3,910.95, 5,862.32 and 1,444.20 is: 2,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.95 : 5,862.32 = 1,444.20 : x
  2. Step 2: Convert to fraction form
    3,910.95/5,862.32 = 1,444.20/x
  3. Step 3: Cross multiply
    3,910.95x = 5,862.32 × 1,444.20
  4. Step 4: Simplify right side
    3,910.95x = 8,466,338.76
  5. Step 5: Solve for x
    x = 8,466,338.76/3,910.95
  6. Step 6: Final answer
    x = 2,164.78

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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.