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Finding the Fourth Proportional to 3,789.03, 5,678.77 and 2,029.67

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Solution

The fourth proportional to 3,789.03, 5,678.77 and 2,029.67 is: 3,041.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.03 : 5,678.77 = 2,029.67 : x
  2. Step 2: Convert to fraction form
    3,789.03/5,678.77 = 2,029.67/x
  3. Step 3: Cross multiply
    3,789.03x = 5,678.77 × 2,029.67
  4. Step 4: Simplify right side
    3,789.03x = 11,526,029.11
  5. Step 5: Solve for x
    x = 11,526,029.11/3,789.03
  6. Step 6: Final answer
    x = 3,041.95

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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.