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Finding the Fourth Proportional to 3,659.90, 5,488.49 and 1,160.79

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Solution

The fourth proportional to 3,659.90, 5,488.49 and 1,160.79 is: 1,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.90 : 5,488.49 = 1,160.79 : x
  2. Step 2: Convert to fraction form
    3,659.90/5,488.49 = 1,160.79/x
  3. Step 3: Cross multiply
    3,659.90x = 5,488.49 × 1,160.79
  4. Step 4: Simplify right side
    3,659.90x = 6,370,978.50
  5. Step 5: Solve for x
    x = 6,370,978.50/3,659.90
  6. Step 6: Final answer
    x = 1,740.75

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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.