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Finding the Fourth Proportional to 4,097.84, 5,654.85 and 2,234.84

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Solution

The fourth proportional to 4,097.84, 5,654.85 and 2,234.84 is: 3,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.84 : 5,654.85 = 2,234.84 : x
  2. Step 2: Convert to fraction form
    4,097.84/5,654.85 = 2,234.84/x
  3. Step 3: Cross multiply
    4,097.84x = 5,654.85 × 2,234.84
  4. Step 4: Simplify right side
    4,097.84x = 12,637,684.97
  5. Step 5: Solve for x
    x = 12,637,684.97/4,097.84
  6. Step 6: Final answer
    x = 3,083.99

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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.