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Finding the Fourth Proportional to 3,462.62, 4,778.53 and 2,135.57

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Solution

The fourth proportional to 3,462.62, 4,778.53 and 2,135.57 is: 2,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.62 : 4,778.53 = 2,135.57 : x
  2. Step 2: Convert to fraction form
    3,462.62/4,778.53 = 2,135.57/x
  3. Step 3: Cross multiply
    3,462.62x = 4,778.53 × 2,135.57
  4. Step 4: Simplify right side
    3,462.62x = 10,204,856.08
  5. Step 5: Solve for x
    x = 10,204,856.08/3,462.62
  6. Step 6: Final answer
    x = 2,947.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.