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Finding the Fourth Proportional to 6,258.29, 8,634.78 and 3,739.31

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Solution

The fourth proportional to 6,258.29, 8,634.78 and 3,739.31 is: 5,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.29 : 8,634.78 = 3,739.31 : x
  2. Step 2: Convert to fraction form
    6,258.29/8,634.78 = 3,739.31/x
  3. Step 3: Cross multiply
    6,258.29x = 8,634.78 × 3,739.31
  4. Step 4: Simplify right side
    6,258.29x = 32,288,119.20
  5. Step 5: Solve for x
    x = 32,288,119.20/6,258.29
  6. Step 6: Final answer
    x = 5,159.26

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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.