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Finding the Fourth Proportional to 3,723.77, 5,138.84 and 2,045.20

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Solution

The fourth proportional to 3,723.77, 5,138.84 and 2,045.20 is: 2,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.77 : 5,138.84 = 2,045.20 : x
  2. Step 2: Convert to fraction form
    3,723.77/5,138.84 = 2,045.20/x
  3. Step 3: Cross multiply
    3,723.77x = 5,138.84 × 2,045.20
  4. Step 4: Simplify right side
    3,723.77x = 10,509,932.49
  5. Step 5: Solve for x
    x = 10,509,932.49/3,723.77
  6. Step 6: Final answer
    x = 2,822.39

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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.