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Finding the Fourth Proportional to 3,480.97, 5,222.10 and 1,140.77

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Solution

The fourth proportional to 3,480.97, 5,222.10 and 1,140.77 is: 1,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.97 : 5,222.10 = 1,140.77 : x
  2. Step 2: Convert to fraction form
    3,480.97/5,222.10 = 1,140.77/x
  3. Step 3: Cross multiply
    3,480.97x = 5,222.10 × 1,140.77
  4. Step 4: Simplify right side
    3,480.97x = 5,957,215.02
  5. Step 5: Solve for x
    x = 5,957,215.02/3,480.97
  6. Step 6: Final answer
    x = 1,711.37

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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.