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Finding the Fourth Proportional to 3,549.92, 4,898.78 and 2,224.35

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Solution

The fourth proportional to 3,549.92, 4,898.78 and 2,224.35 is: 3,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.92 : 4,898.78 = 2,224.35 : x
  2. Step 2: Convert to fraction form
    3,549.92/4,898.78 = 2,224.35/x
  3. Step 3: Cross multiply
    3,549.92x = 4,898.78 × 2,224.35
  4. Step 4: Simplify right side
    3,549.92x = 10,896,616.88
  5. Step 5: Solve for x
    x = 10,896,616.88/3,549.92
  6. Step 6: Final answer
    x = 3,069.54

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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.