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Finding the Fourth Proportional to 4,078.80, 6,113.48 and 1,882.95

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Solution

The fourth proportional to 4,078.80, 6,113.48 and 1,882.95 is: 2,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.80 : 6,113.48 = 1,882.95 : x
  2. Step 2: Convert to fraction form
    4,078.80/6,113.48 = 1,882.95/x
  3. Step 3: Cross multiply
    4,078.80x = 6,113.48 × 1,882.95
  4. Step 4: Simplify right side
    4,078.80x = 11,511,367.75
  5. Step 5: Solve for x
    x = 11,511,367.75/4,078.80
  6. Step 6: Final answer
    x = 2,822.24

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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.