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Finding the Fourth Proportional to 4,083.97, 6,125.97 and 1,161.91

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Solution

The fourth proportional to 4,083.97, 6,125.97 and 1,161.91 is: 1,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.97 : 6,125.97 = 1,161.91 : x
  2. Step 2: Convert to fraction form
    4,083.97/6,125.97 = 1,161.91/x
  3. Step 3: Cross multiply
    4,083.97x = 6,125.97 × 1,161.91
  4. Step 4: Simplify right side
    4,083.97x = 7,117,825.80
  5. Step 5: Solve for x
    x = 7,117,825.80/4,083.97
  6. Step 6: Final answer
    x = 1,742.87

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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.