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Finding the Fourth Proportional to 6,257.96, 8,634.66 and 3,739.40

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Solution

The fourth proportional to 6,257.96, 8,634.66 and 3,739.40 is: 5,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.96 : 8,634.66 = 3,739.40 : x
  2. Step 2: Convert to fraction form
    6,257.96/8,634.66 = 3,739.40/x
  3. Step 3: Cross multiply
    6,257.96x = 8,634.66 × 3,739.40
  4. Step 4: Simplify right side
    6,257.96x = 32,288,447.60
  5. Step 5: Solve for x
    x = 32,288,447.60/6,257.96
  6. Step 6: Final answer
    x = 5,159.58

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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.