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Finding the Fourth Proportional to 3,540.76, 5,311.31 and 1,349.66

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Solution

The fourth proportional to 3,540.76, 5,311.31 and 1,349.66 is: 2,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.76 : 5,311.31 = 1,349.66 : x
  2. Step 2: Convert to fraction form
    3,540.76/5,311.31 = 1,349.66/x
  3. Step 3: Cross multiply
    3,540.76x = 5,311.31 × 1,349.66
  4. Step 4: Simplify right side
    3,540.76x = 7,168,462.65
  5. Step 5: Solve for x
    x = 7,168,462.65/3,540.76
  6. Step 6: Final answer
    x = 2,024.55

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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.