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Finding the Fourth Proportional to 3,686.78, 5,528.12 and 1,220.94

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Solution

The fourth proportional to 3,686.78, 5,528.12 and 1,220.94 is: 1,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.78 : 5,528.12 = 1,220.94 : x
  2. Step 2: Convert to fraction form
    3,686.78/5,528.12 = 1,220.94/x
  3. Step 3: Cross multiply
    3,686.78x = 5,528.12 × 1,220.94
  4. Step 4: Simplify right side
    3,686.78x = 6,749,496.73
  5. Step 5: Solve for x
    x = 6,749,496.73/3,686.78
  6. Step 6: Final answer
    x = 1,830.73

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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.