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Finding the Fourth Proportional to 3,710.16, 5,120.01 and 2,138.25

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Solution

The fourth proportional to 3,710.16, 5,120.01 and 2,138.25 is: 2,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.16 : 5,120.01 = 2,138.25 : x
  2. Step 2: Convert to fraction form
    3,710.16/5,120.01 = 2,138.25/x
  3. Step 3: Cross multiply
    3,710.16x = 5,120.01 × 2,138.25
  4. Step 4: Simplify right side
    3,710.16x = 10,947,861.38
  5. Step 5: Solve for x
    x = 10,947,861.38/3,710.16
  6. Step 6: Final answer
    x = 2,950.78

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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.