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Finding the Fourth Proportional to 4,097.17, 5,654.01 and 2,234.17

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Solution

The fourth proportional to 4,097.17, 5,654.01 and 2,234.17 is: 3,083.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.17 : 5,654.01 = 2,234.17 : x
  2. Step 2: Convert to fraction form
    4,097.17/5,654.01 = 2,234.17/x
  3. Step 3: Cross multiply
    4,097.17x = 5,654.01 × 2,234.17
  4. Step 4: Simplify right side
    4,097.17x = 12,632,019.52
  5. Step 5: Solve for x
    x = 12,632,019.52/4,097.17
  6. Step 6: Final answer
    x = 3,083.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.