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Finding the Fourth Proportional to 3,442.70, 4,749.44 and 2,115.92

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Solution

The fourth proportional to 3,442.70, 4,749.44 and 2,115.92 is: 2,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.70 : 4,749.44 = 2,115.92 : x
  2. Step 2: Convert to fraction form
    3,442.70/4,749.44 = 2,115.92/x
  3. Step 3: Cross multiply
    3,442.70x = 4,749.44 × 2,115.92
  4. Step 4: Simplify right side
    3,442.70x = 10,049,436.38
  5. Step 5: Solve for x
    x = 10,049,436.38/3,442.70
  6. Step 6: Final answer
    x = 2,919.05

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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.