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Finding the Fourth Proportional to 6,261.86, 8,638.61 and 3,742.71

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Solution

The fourth proportional to 6,261.86, 8,638.61 and 3,742.71 is: 5,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.86 : 8,638.61 = 3,742.71 : x
  2. Step 2: Convert to fraction form
    6,261.86/8,638.61 = 3,742.71/x
  3. Step 3: Cross multiply
    6,261.86x = 8,638.61 × 3,742.71
  4. Step 4: Simplify right side
    6,261.86x = 32,331,793.32
  5. Step 5: Solve for x
    x = 32,331,793.32/6,261.86
  6. Step 6: Final answer
    x = 5,163.29

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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.