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Finding the Fourth Proportional to 3,675.78, 5,501.52 and 2,217.78

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Solution

The fourth proportional to 3,675.78, 5,501.52 and 2,217.78 is: 3,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.78 : 5,501.52 = 2,217.78 : x
  2. Step 2: Convert to fraction form
    3,675.78/5,501.52 = 2,217.78/x
  3. Step 3: Cross multiply
    3,675.78x = 5,501.52 × 2,217.78
  4. Step 4: Simplify right side
    3,675.78x = 12,201,161.03
  5. Step 5: Solve for x
    x = 12,201,161.03/3,675.78
  6. Step 6: Final answer
    x = 3,319.34

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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.