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Finding the Fourth Proportional to 3,630.87, 5,442.98 and 1,320.75

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Solution

The fourth proportional to 3,630.87, 5,442.98 and 1,320.75 is: 1,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.87 : 5,442.98 = 1,320.75 : x
  2. Step 2: Convert to fraction form
    3,630.87/5,442.98 = 1,320.75/x
  3. Step 3: Cross multiply
    3,630.87x = 5,442.98 × 1,320.75
  4. Step 4: Simplify right side
    3,630.87x = 7,188,809.23
  5. Step 5: Solve for x
    x = 7,188,809.23/3,630.87
  6. Step 6: Final answer
    x = 1,979.91

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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.