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Finding the Fourth Proportional to 3,627.95, 5,438.12 and 1,520.78

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Solution

The fourth proportional to 3,627.95, 5,438.12 and 1,520.78 is: 2,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.95 : 5,438.12 = 1,520.78 : x
  2. Step 2: Convert to fraction form
    3,627.95/5,438.12 = 1,520.78/x
  3. Step 3: Cross multiply
    3,627.95x = 5,438.12 × 1,520.78
  4. Step 4: Simplify right side
    3,627.95x = 8,270,184.13
  5. Step 5: Solve for x
    x = 8,270,184.13/3,627.95
  6. Step 6: Final answer
    x = 2,279.58

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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.