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Finding the Fourth Proportional to 4,216.38, 5,813.12 and 2,887.78

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Solution

The fourth proportional to 4,216.38, 5,813.12 and 2,887.78 is: 3,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.38 : 5,813.12 = 2,887.78 : x
  2. Step 2: Convert to fraction form
    4,216.38/5,813.12 = 2,887.78/x
  3. Step 3: Cross multiply
    4,216.38x = 5,813.12 × 2,887.78
  4. Step 4: Simplify right side
    4,216.38x = 16,787,011.67
  5. Step 5: Solve for x
    x = 16,787,011.67/4,216.38
  6. Step 6: Final answer
    x = 3,981.38

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Why These Related Problems?

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