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Finding the Fourth Proportional to 3,849.96, 5,775.15 and 1,217.55

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Solution

The fourth proportional to 3,849.96, 5,775.15 and 1,217.55 is: 1,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.96 : 5,775.15 = 1,217.55 : x
  2. Step 2: Convert to fraction form
    3,849.96/5,775.15 = 1,217.55/x
  3. Step 3: Cross multiply
    3,849.96x = 5,775.15 × 1,217.55
  4. Step 4: Simplify right side
    3,849.96x = 7,031,533.88
  5. Step 5: Solve for x
    x = 7,031,533.88/3,849.96
  6. Step 6: Final answer
    x = 1,826.39

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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.