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Finding the Fourth Proportional to 5,189.73, 7,766.01 and 2,987.67

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Solution

The fourth proportional to 5,189.73, 7,766.01 and 2,987.67 is: 4,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.73 : 7,766.01 = 2,987.67 : x
  2. Step 2: Convert to fraction form
    5,189.73/7,766.01 = 2,987.67/x
  3. Step 3: Cross multiply
    5,189.73x = 7,766.01 × 2,987.67
  4. Step 4: Simplify right side
    5,189.73x = 23,202,275.10
  5. Step 5: Solve for x
    x = 23,202,275.10/5,189.73
  6. Step 6: Final answer
    x = 4,470.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.