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Finding the Fourth Proportional to 3,349.84, 4,616.04 and 2,764.56

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Solution

The fourth proportional to 3,349.84, 4,616.04 and 2,764.56 is: 3,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.84 : 4,616.04 = 2,764.56 : x
  2. Step 2: Convert to fraction form
    3,349.84/4,616.04 = 2,764.56/x
  3. Step 3: Cross multiply
    3,349.84x = 4,616.04 × 2,764.56
  4. Step 4: Simplify right side
    3,349.84x = 12,761,319.54
  5. Step 5: Solve for x
    x = 12,761,319.54/3,349.84
  6. Step 6: Final answer
    x = 3,809.53

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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.