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Finding the Fourth Proportional to 3,227.84, 4,460.64 and 2,605.76

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Solution

The fourth proportional to 3,227.84, 4,460.64 and 2,605.76 is: 3,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.84 : 4,460.64 = 2,605.76 : x
  2. Step 2: Convert to fraction form
    3,227.84/4,460.64 = 2,605.76/x
  3. Step 3: Cross multiply
    3,227.84x = 4,460.64 × 2,605.76
  4. Step 4: Simplify right side
    3,227.84x = 11,623,357.29
  5. Step 5: Solve for x
    x = 11,623,357.29/3,227.84
  6. Step 6: Final answer
    x = 3,600.97

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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.