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Finding the Fourth Proportional to 5,799.74, 8,695.82 and 3,819.38

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Solution

The fourth proportional to 5,799.74, 8,695.82 and 3,819.38 is: 5,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.74 : 8,695.82 = 3,819.38 : x
  2. Step 2: Convert to fraction form
    5,799.74/8,695.82 = 3,819.38/x
  3. Step 3: Cross multiply
    5,799.74x = 8,695.82 × 3,819.38
  4. Step 4: Simplify right side
    5,799.74x = 33,212,597.51
  5. Step 5: Solve for x
    x = 33,212,597.51/5,799.74
  6. Step 6: Final answer
    x = 5,726.57

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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.