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Finding the Fourth Proportional to 3,480.27, 5,220.27 and 1,140.45

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Solution

The fourth proportional to 3,480.27, 5,220.27 and 1,140.45 is: 1,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.27 : 5,220.27 = 1,140.45 : x
  2. Step 2: Convert to fraction form
    3,480.27/5,220.27 = 1,140.45/x
  3. Step 3: Cross multiply
    3,480.27x = 5,220.27 × 1,140.45
  4. Step 4: Simplify right side
    3,480.27x = 5,953,456.92
  5. Step 5: Solve for x
    x = 5,953,456.92/3,480.27
  6. Step 6: Final answer
    x = 1,710.63

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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.