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Finding the Fourth Proportional to 4,061.76, 5,604.84 and 3,224.49

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Solution

The fourth proportional to 4,061.76, 5,604.84 and 3,224.49 is: 4,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.76 : 5,604.84 = 3,224.49 : x
  2. Step 2: Convert to fraction form
    4,061.76/5,604.84 = 3,224.49/x
  3. Step 3: Cross multiply
    4,061.76x = 5,604.84 × 3,224.49
  4. Step 4: Simplify right side
    4,061.76x = 18,072,750.53
  5. Step 5: Solve for x
    x = 18,072,750.53/4,061.76
  6. Step 6: Final answer
    x = 4,449.49

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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.