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Finding the Fourth Proportional to 3,443.77, 5,156.88 and 2,270.21

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Solution

The fourth proportional to 3,443.77, 5,156.88 and 2,270.21 is: 3,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.77 : 5,156.88 = 2,270.21 : x
  2. Step 2: Convert to fraction form
    3,443.77/5,156.88 = 2,270.21/x
  3. Step 3: Cross multiply
    3,443.77x = 5,156.88 × 2,270.21
  4. Step 4: Simplify right side
    3,443.77x = 11,707,200.54
  5. Step 5: Solve for x
    x = 11,707,200.54/3,443.77
  6. Step 6: Final answer
    x = 3,399.53

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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.