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Finding the Fourth Proportional to 3,453.44, 4,767 and 2,275.04

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Solution

The fourth proportional to 3,453.44, 4,767 and 2,275.04 is: 3,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.44 : 4,767 = 2,275.04 : x
  2. Step 2: Convert to fraction form
    3,453.44/4,767 = 2,275.04/x
  3. Step 3: Cross multiply
    3,453.44x = 4,767 × 2,275.04
  4. Step 4: Simplify right side
    3,453.44x = 10,845,115.68
  5. Step 5: Solve for x
    x = 10,845,115.68/3,453.44
  6. Step 6: Final answer
    x = 3,140.38

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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.