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Finding the Fourth Proportional to 4,097.88, 5,654.88 and 2,329.29

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Solution

The fourth proportional to 4,097.88, 5,654.88 and 2,329.29 is: 3,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.88 : 5,654.88 = 2,329.29 : x
  2. Step 2: Convert to fraction form
    4,097.88/5,654.88 = 2,329.29/x
  3. Step 3: Cross multiply
    4,097.88x = 5,654.88 × 2,329.29
  4. Step 4: Simplify right side
    4,097.88x = 13,171,855.44
  5. Step 5: Solve for x
    x = 13,171,855.44/4,097.88
  6. Step 6: Final answer
    x = 3,214.31

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1.5x scale

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.