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Finding the Fourth Proportional to 3,920.54, 5,881.73 and 1,147.14

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Solution

The fourth proportional to 3,920.54, 5,881.73 and 1,147.14 is: 1,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.54 : 5,881.73 = 1,147.14 : x
  2. Step 2: Convert to fraction form
    3,920.54/5,881.73 = 1,147.14/x
  3. Step 3: Cross multiply
    3,920.54x = 5,881.73 × 1,147.14
  4. Step 4: Simplify right side
    3,920.54x = 6,747,162.02
  5. Step 5: Solve for x
    x = 6,747,162.02/3,920.54
  6. Step 6: Final answer
    x = 1,720.98

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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.