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Finding the Fourth Proportional to 4,760.79, 7,107.11 and 4,138.18

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Solution

The fourth proportional to 4,760.79, 7,107.11 and 4,138.18 is: 6,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.79 : 7,107.11 = 4,138.18 : x
  2. Step 2: Convert to fraction form
    4,760.79/7,107.11 = 4,138.18/x
  3. Step 3: Cross multiply
    4,760.79x = 7,107.11 × 4,138.18
  4. Step 4: Simplify right side
    4,760.79x = 29,410,500.46
  5. Step 5: Solve for x
    x = 29,410,500.46/4,760.79
  6. Step 6: Final answer
    x = 6,177.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.