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Finding the Fourth Proportional to 3,627.08, 5,442.76 and 1,318.76

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Solution

The fourth proportional to 3,627.08, 5,442.76 and 1,318.76 is: 1,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.08 : 5,442.76 = 1,318.76 : x
  2. Step 2: Convert to fraction form
    3,627.08/5,442.76 = 1,318.76/x
  3. Step 3: Cross multiply
    3,627.08x = 5,442.76 × 1,318.76
  4. Step 4: Simplify right side
    3,627.08x = 7,177,694.18
  5. Step 5: Solve for x
    x = 7,177,694.18/3,627.08
  6. Step 6: Final answer
    x = 1,978.92

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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.