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Finding the Fourth Proportional to 3,551.78, 5,328.34 and 1,211.68

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Solution

The fourth proportional to 3,551.78, 5,328.34 and 1,211.68 is: 1,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.78 : 5,328.34 = 1,211.68 : x
  2. Step 2: Convert to fraction form
    3,551.78/5,328.34 = 1,211.68/x
  3. Step 3: Cross multiply
    3,551.78x = 5,328.34 × 1,211.68
  4. Step 4: Simplify right side
    3,551.78x = 6,456,243.01
  5. Step 5: Solve for x
    x = 6,456,243.01/3,551.78
  6. Step 6: Final answer
    x = 1,817.75

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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.