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Finding the Fourth Proportional to 4,967.34, 6,854.60 and 2,729.31

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Solution

The fourth proportional to 4,967.34, 6,854.60 and 2,729.31 is: 3,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.34 : 6,854.60 = 2,729.31 : x
  2. Step 2: Convert to fraction form
    4,967.34/6,854.60 = 2,729.31/x
  3. Step 3: Cross multiply
    4,967.34x = 6,854.60 × 2,729.31
  4. Step 4: Simplify right side
    4,967.34x = 18,708,314.68
  5. Step 5: Solve for x
    x = 18,708,314.68/4,967.34
  6. Step 6: Final answer
    x = 3,766.26

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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.