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Finding the Fourth Proportional to 4,097.64, 5,654.72 and 2,234.64

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Solution

The fourth proportional to 4,097.64, 5,654.72 and 2,234.64 is: 3,083.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.64 : 5,654.72 = 2,234.64 : x
  2. Step 2: Convert to fraction form
    4,097.64/5,654.72 = 2,234.64/x
  3. Step 3: Cross multiply
    4,097.64x = 5,654.72 × 2,234.64
  4. Step 4: Simplify right side
    4,097.64x = 12,636,263.50
  5. Step 5: Solve for x
    x = 12,636,263.50/4,097.64
  6. Step 6: Final answer
    x = 3,083.79

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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.