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Finding the Fourth Proportional to 3,441.76, 4,747.20 and 2,116.21

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Solution

The fourth proportional to 3,441.76, 4,747.20 and 2,116.21 is: 2,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.76 : 4,747.20 = 2,116.21 : x
  2. Step 2: Convert to fraction form
    3,441.76/4,747.20 = 2,116.21/x
  3. Step 3: Cross multiply
    3,441.76x = 4,747.20 × 2,116.21
  4. Step 4: Simplify right side
    3,441.76x = 10,046,072.11
  5. Step 5: Solve for x
    x = 10,046,072.11/3,441.76
  6. Step 6: Final answer
    x = 2,918.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.