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Finding the Fourth Proportional to 4,854.47, 6,698.57 and 2,729.70

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Solution

The fourth proportional to 4,854.47, 6,698.57 and 2,729.70 is: 3,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.47 : 6,698.57 = 2,729.70 : x
  2. Step 2: Convert to fraction form
    4,854.47/6,698.57 = 2,729.70/x
  3. Step 3: Cross multiply
    4,854.47x = 6,698.57 × 2,729.70
  4. Step 4: Simplify right side
    4,854.47x = 18,285,072.88
  5. Step 5: Solve for x
    x = 18,285,072.88/4,854.47
  6. Step 6: Final answer
    x = 3,766.65

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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.