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Finding the Fourth Proportional to 3,656.38, 5,045.79 and 1,977.78

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Solution

The fourth proportional to 3,656.38, 5,045.79 and 1,977.78 is: 2,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.38 : 5,045.79 = 1,977.78 : x
  2. Step 2: Convert to fraction form
    3,656.38/5,045.79 = 1,977.78/x
  3. Step 3: Cross multiply
    3,656.38x = 5,045.79 × 1,977.78
  4. Step 4: Simplify right side
    3,656.38x = 9,979,467.74
  5. Step 5: Solve for x
    x = 9,979,467.74/3,656.38
  6. Step 6: Final answer
    x = 2,729.33

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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.