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Finding the Fourth Proportional to 6,138.40, 8,475.60 and 4,277.92

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Solution

The fourth proportional to 6,138.40, 8,475.60 and 4,277.92 is: 5,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.40 : 8,475.60 = 4,277.92 : x
  2. Step 2: Convert to fraction form
    6,138.40/8,475.60 = 4,277.92/x
  3. Step 3: Cross multiply
    6,138.40x = 8,475.60 × 4,277.92
  4. Step 4: Simplify right side
    6,138.40x = 36,257,938.75
  5. Step 5: Solve for x
    x = 36,257,938.75/6,138.40
  6. Step 6: Final answer
    x = 5,906.74

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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.