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Finding the Fourth Proportional to 4,338.64, 5,986.92 and 2,449.72

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Solution

The fourth proportional to 4,338.64, 5,986.92 and 2,449.72 is: 3,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.64 : 5,986.92 = 2,449.72 : x
  2. Step 2: Convert to fraction form
    4,338.64/5,986.92 = 2,449.72/x
  3. Step 3: Cross multiply
    4,338.64x = 5,986.92 × 2,449.72
  4. Step 4: Simplify right side
    4,338.64x = 14,666,277.66
  5. Step 5: Solve for x
    x = 14,666,277.66/4,338.64
  6. Step 6: Final answer
    x = 3,380.39

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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.