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Finding the Fourth Proportional to 3,655.41, 5,480.70 and 2,074.15

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Solution

The fourth proportional to 3,655.41, 5,480.70 and 2,074.15 is: 3,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.41 : 5,480.70 = 2,074.15 : x
  2. Step 2: Convert to fraction form
    3,655.41/5,480.70 = 2,074.15/x
  3. Step 3: Cross multiply
    3,655.41x = 5,480.70 × 2,074.15
  4. Step 4: Simplify right side
    3,655.41x = 11,367,793.91
  5. Step 5: Solve for x
    x = 11,367,793.91/3,655.41
  6. Step 6: Final answer
    x = 3,109.85

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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.