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Finding the Fourth Proportional to 4,838.74, 6,677.85 and 2,743

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Solution

The fourth proportional to 4,838.74, 6,677.85 and 2,743 is: 3,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.74 : 6,677.85 = 2,743 : x
  2. Step 2: Convert to fraction form
    4,838.74/6,677.85 = 2,743/x
  3. Step 3: Cross multiply
    4,838.74x = 6,677.85 × 2,743
  4. Step 4: Simplify right side
    4,838.74x = 18,317,342.55
  5. Step 5: Solve for x
    x = 18,317,342.55/4,838.74
  6. Step 6: Final answer
    x = 3,785.56

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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.