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Finding the Fourth Proportional to 3,859.83, 5,788.74 and 1,519.92

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Solution

The fourth proportional to 3,859.83, 5,788.74 and 1,519.92 is: 2,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.83 : 5,788.74 = 1,519.92 : x
  2. Step 2: Convert to fraction form
    3,859.83/5,788.74 = 1,519.92/x
  3. Step 3: Cross multiply
    3,859.83x = 5,788.74 × 1,519.92
  4. Step 4: Simplify right side
    3,859.83x = 8,798,421.70
  5. Step 5: Solve for x
    x = 8,798,421.70/3,859.83
  6. Step 6: Final answer
    x = 2,279.48

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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.