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Finding the Fourth Proportional to 4,122.60, 5,689.74 and 2,445.48

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Solution

The fourth proportional to 4,122.60, 5,689.74 and 2,445.48 is: 3,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.60 : 5,689.74 = 2,445.48 : x
  2. Step 2: Convert to fraction form
    4,122.60/5,689.74 = 2,445.48/x
  3. Step 3: Cross multiply
    4,122.60x = 5,689.74 × 2,445.48
  4. Step 4: Simplify right side
    4,122.60x = 13,914,145.38
  5. Step 5: Solve for x
    x = 13,914,145.38/4,122.60
  6. Step 6: Final answer
    x = 3,375.09

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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.