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Finding the Fourth Proportional to 4,097.52, 5,654.61 and 2,329.25

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Solution

The fourth proportional to 4,097.52, 5,654.61 and 2,329.25 is: 3,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.52 : 5,654.61 = 2,329.25 : x
  2. Step 2: Convert to fraction form
    4,097.52/5,654.61 = 2,329.25/x
  3. Step 3: Cross multiply
    4,097.52x = 5,654.61 × 2,329.25
  4. Step 4: Simplify right side
    4,097.52x = 13,170,972.07
  5. Step 5: Solve for x
    x = 13,170,972.07/4,097.52
  6. Step 6: Final answer
    x = 3,214.38

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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.