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Finding the Fourth Proportional to 4,097.28, 5,654.28 and 2,234.28

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Solution

The fourth proportional to 4,097.28, 5,654.28 and 2,234.28 is: 3,083.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.28 : 5,654.28 = 2,234.28 : x
  2. Step 2: Convert to fraction form
    4,097.28/5,654.28 = 2,234.28/x
  3. Step 3: Cross multiply
    4,097.28x = 5,654.28 × 2,234.28
  4. Step 4: Simplify right side
    4,097.28x = 12,633,244.72
  5. Step 5: Solve for x
    x = 12,633,244.72/4,097.28
  6. Step 6: Final answer
    x = 3,083.32

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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.