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Finding the Fourth Proportional to 4,097.44, 5,654.47 and 2,329.38

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Solution

The fourth proportional to 4,097.44, 5,654.47 and 2,329.38 is: 3,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.44 : 5,654.47 = 2,329.38 : x
  2. Step 2: Convert to fraction form
    4,097.44/5,654.47 = 2,329.38/x
  3. Step 3: Cross multiply
    4,097.44x = 5,654.47 × 2,329.38
  4. Step 4: Simplify right side
    4,097.44x = 13,171,397.68
  5. Step 5: Solve for x
    x = 13,171,397.68/4,097.44
  6. Step 6: Final answer
    x = 3,214.55

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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.