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Finding the Fourth Proportional to 6,138.76, 8,471.48 and 3,344.26

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Solution

The fourth proportional to 6,138.76, 8,471.48 and 3,344.26 is: 4,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.76 : 8,471.48 = 3,344.26 : x
  2. Step 2: Convert to fraction form
    6,138.76/8,471.48 = 3,344.26/x
  3. Step 3: Cross multiply
    6,138.76x = 8,471.48 × 3,344.26
  4. Step 4: Simplify right side
    6,138.76x = 28,330,831.70
  5. Step 5: Solve for x
    x = 28,330,831.70/6,138.76
  6. Step 6: Final answer
    x = 4,615.07

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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.