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Finding the Fourth Proportional to 4,838.89, 6,677.49 and 2,743.42

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Solution

The fourth proportional to 4,838.89, 6,677.49 and 2,743.42 is: 3,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.89 : 6,677.49 = 2,743.42 : x
  2. Step 2: Convert to fraction form
    4,838.89/6,677.49 = 2,743.42/x
  3. Step 3: Cross multiply
    4,838.89x = 6,677.49 × 2,743.42
  4. Step 4: Simplify right side
    4,838.89x = 18,319,159.62
  5. Step 5: Solve for x
    x = 18,319,159.62/4,838.89
  6. Step 6: Final answer
    x = 3,785.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.