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Finding the Fourth Proportional to 4,097.76, 5,654.94 and 2,234.76

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Solution

The fourth proportional to 4,097.76, 5,654.94 and 2,234.76 is: 3,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.76 : 5,654.94 = 2,234.76 : x
  2. Step 2: Convert to fraction form
    4,097.76/5,654.94 = 2,234.76/x
  3. Step 3: Cross multiply
    4,097.76x = 5,654.94 × 2,234.76
  4. Step 4: Simplify right side
    4,097.76x = 12,637,433.71
  5. Step 5: Solve for x
    x = 12,637,433.71/4,097.76
  6. Step 6: Final answer
    x = 3,083.99

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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.