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Finding the Fourth Proportional to 4,854.35, 6,698.63 and 2,729.54

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Solution

The fourth proportional to 4,854.35, 6,698.63 and 2,729.54 is: 3,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.35 : 6,698.63 = 2,729.54 : x
  2. Step 2: Convert to fraction form
    4,854.35/6,698.63 = 2,729.54/x
  3. Step 3: Cross multiply
    4,854.35x = 6,698.63 × 2,729.54
  4. Step 4: Simplify right side
    4,854.35x = 18,284,202.10
  5. Step 5: Solve for x
    x = 18,284,202.10/4,854.35
  6. Step 6: Final answer
    x = 3,766.56

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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.