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Finding the Fourth Proportional to 4,097.38, 5,654.40 and 2,234.38

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Solution

The fourth proportional to 4,097.38, 5,654.40 and 2,234.38 is: 3,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.38 : 5,654.40 = 2,234.38 : x
  2. Step 2: Convert to fraction form
    4,097.38/5,654.40 = 2,234.38/x
  3. Step 3: Cross multiply
    4,097.38x = 5,654.40 × 2,234.38
  4. Step 4: Simplify right side
    4,097.38x = 12,634,078.27
  5. Step 5: Solve for x
    x = 12,634,078.27/4,097.38
  6. Step 6: Final answer
    x = 3,083.45

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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.