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Finding the Fourth Proportional to 5,886.29, 8,819.06 and 3,106.84

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Solution

The fourth proportional to 5,886.29, 8,819.06 and 3,106.84 is: 4,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.29 : 8,819.06 = 3,106.84 : x
  2. Step 2: Convert to fraction form
    5,886.29/8,819.06 = 3,106.84/x
  3. Step 3: Cross multiply
    5,886.29x = 8,819.06 × 3,106.84
  4. Step 4: Simplify right side
    5,886.29x = 27,399,408.37
  5. Step 5: Solve for x
    x = 27,399,408.37/5,886.29
  6. Step 6: Final answer
    x = 4,654.78

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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.