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Finding the Fourth Proportional to 4,254.68, 5,874.36 and 2,662

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Solution

The fourth proportional to 4,254.68, 5,874.36 and 2,662 is: 3,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.68 : 5,874.36 = 2,662 : x
  2. Step 2: Convert to fraction form
    4,254.68/5,874.36 = 2,662/x
  3. Step 3: Cross multiply
    4,254.68x = 5,874.36 × 2,662
  4. Step 4: Simplify right side
    4,254.68x = 15,637,546.32
  5. Step 5: Solve for x
    x = 15,637,546.32/4,254.68
  6. Step 6: Final answer
    x = 3,675.38

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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.