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Finding the Fourth Proportional to 4,853.58, 6,698.25 and 2,729.31

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Solution

The fourth proportional to 4,853.58, 6,698.25 and 2,729.31 is: 3,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.58 : 6,698.25 = 2,729.31 : x
  2. Step 2: Convert to fraction form
    4,853.58/6,698.25 = 2,729.31/x
  3. Step 3: Cross multiply
    4,853.58x = 6,698.25 × 2,729.31
  4. Step 4: Simplify right side
    4,853.58x = 18,281,600.71
  5. Step 5: Solve for x
    x = 18,281,600.71/4,853.58
  6. Step 6: Final answer
    x = 3,766.62

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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.