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Finding the Fourth Proportional to 3,723.71, 5,138.78 and 2,045.18

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Solution

The fourth proportional to 3,723.71, 5,138.78 and 2,045.18 is: 2,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.71 : 5,138.78 = 2,045.18 : x
  2. Step 2: Convert to fraction form
    3,723.71/5,138.78 = 2,045.18/x
  3. Step 3: Cross multiply
    3,723.71x = 5,138.78 × 2,045.18
  4. Step 4: Simplify right side
    3,723.71x = 10,509,730.08
  5. Step 5: Solve for x
    x = 10,509,730.08/3,723.71
  6. Step 6: Final answer
    x = 2,822.38

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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.