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Finding the Fourth Proportional to 3,442.81, 4,748.43 and 2,321.97

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Solution

The fourth proportional to 3,442.81, 4,748.43 and 2,321.97 is: 3,202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.81 : 4,748.43 = 2,321.97 : x
  2. Step 2: Convert to fraction form
    3,442.81/4,748.43 = 2,321.97/x
  3. Step 3: Cross multiply
    3,442.81x = 4,748.43 × 2,321.97
  4. Step 4: Simplify right side
    3,442.81x = 11,025,712.01
  5. Step 5: Solve for x
    x = 11,025,712.01/3,442.81
  6. Step 6: Final answer
    x = 3,202.53

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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.