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Finding the Fourth Proportional to 4,422.62, 6,101.16 and 2,651.14

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Solution

The fourth proportional to 4,422.62, 6,101.16 and 2,651.14 is: 3,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422.62 : 6,101.16 = 2,651.14 : x
  2. Step 2: Convert to fraction form
    4,422.62/6,101.16 = 2,651.14/x
  3. Step 3: Cross multiply
    4,422.62x = 6,101.16 × 2,651.14
  4. Step 4: Simplify right side
    4,422.62x = 16,175,029.32
  5. Step 5: Solve for x
    x = 16,175,029.32/4,422.62
  6. Step 6: Final answer
    x = 3,657.34

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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.