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Finding the Fourth Proportional to 4,478.18, 6,179.42 and 2,799.77

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Solution

The fourth proportional to 4,478.18, 6,179.42 and 2,799.77 is: 3,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.18 : 6,179.42 = 2,799.77 : x
  2. Step 2: Convert to fraction form
    4,478.18/6,179.42 = 2,799.77/x
  3. Step 3: Cross multiply
    4,478.18x = 6,179.42 × 2,799.77
  4. Step 4: Simplify right side
    4,478.18x = 17,300,954.01
  5. Step 5: Solve for x
    x = 17,300,954.01/4,478.18
  6. Step 6: Final answer
    x = 3,863.39

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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.