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Finding the Fourth Proportional to 3,660.62, 5,488.77 and 1,352.30

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Solution

The fourth proportional to 3,660.62, 5,488.77 and 1,352.30 is: 2,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.62 : 5,488.77 = 1,352.30 : x
  2. Step 2: Convert to fraction form
    3,660.62/5,488.77 = 1,352.30/x
  3. Step 3: Cross multiply
    3,660.62x = 5,488.77 × 1,352.30
  4. Step 4: Simplify right side
    3,660.62x = 7,422,463.67
  5. Step 5: Solve for x
    x = 7,422,463.67/3,660.62
  6. Step 6: Final answer
    x = 2,027.65

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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.