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Finding the Fourth Proportional to 5,894.14, 8,835.92 and 2,193.78

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Solution

The fourth proportional to 5,894.14, 8,835.92 and 2,193.78 is: 3,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.14 : 8,835.92 = 2,193.78 : x
  2. Step 2: Convert to fraction form
    5,894.14/8,835.92 = 2,193.78/x
  3. Step 3: Cross multiply
    5,894.14x = 8,835.92 × 2,193.78
  4. Step 4: Simplify right side
    5,894.14x = 19,384,064.58
  5. Step 5: Solve for x
    x = 19,384,064.58/5,894.14
  6. Step 6: Final answer
    x = 3,288.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.