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Finding the Fourth Proportional to 3,549.18, 5,324.04 and 1,208.46

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Solution

The fourth proportional to 3,549.18, 5,324.04 and 1,208.46 is: 1,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.18 : 5,324.04 = 1,208.46 : x
  2. Step 2: Convert to fraction form
    3,549.18/5,324.04 = 1,208.46/x
  3. Step 3: Cross multiply
    3,549.18x = 5,324.04 × 1,208.46
  4. Step 4: Simplify right side
    3,549.18x = 6,433,889.38
  5. Step 5: Solve for x
    x = 6,433,889.38/3,549.18
  6. Step 6: Final answer
    x = 1,812.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.