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Finding the Fourth Proportional to 5,773.38, 7,964.44 and 3,647.89

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Solution

The fourth proportional to 5,773.38, 7,964.44 and 3,647.89 is: 5,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.38 : 7,964.44 = 3,647.89 : x
  2. Step 2: Convert to fraction form
    5,773.38/7,964.44 = 3,647.89/x
  3. Step 3: Cross multiply
    5,773.38x = 7,964.44 × 3,647.89
  4. Step 4: Simplify right side
    5,773.38x = 29,053,422.39
  5. Step 5: Solve for x
    x = 29,053,422.39/5,773.38
  6. Step 6: Final answer
    x = 5,032.31

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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.