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Finding the Fourth Proportional to 3,549.75, 5,322.39 and 1,208.98

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Solution

The fourth proportional to 3,549.75, 5,322.39 and 1,208.98 is: 1,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.75 : 5,322.39 = 1,208.98 : x
  2. Step 2: Convert to fraction form
    3,549.75/5,322.39 = 1,208.98/x
  3. Step 3: Cross multiply
    3,549.75x = 5,322.39 × 1,208.98
  4. Step 4: Simplify right side
    3,549.75x = 6,434,663.06
  5. Step 5: Solve for x
    x = 6,434,663.06/3,549.75
  6. Step 6: Final answer
    x = 1,812.71

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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.