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Finding the Fourth Proportional to 5,138.42, 7,091.08 and 2,900.38

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Solution

The fourth proportional to 5,138.42, 7,091.08 and 2,900.38 is: 4,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.42 : 7,091.08 = 2,900.38 : x
  2. Step 2: Convert to fraction form
    5,138.42/7,091.08 = 2,900.38/x
  3. Step 3: Cross multiply
    5,138.42x = 7,091.08 × 2,900.38
  4. Step 4: Simplify right side
    5,138.42x = 20,566,826.61
  5. Step 5: Solve for x
    x = 20,566,826.61/5,138.42
  6. Step 6: Final answer
    x = 4,002.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.