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Finding the Fourth Proportional to 3,848.33, 5,776.16 and 2,000.79

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Solution

The fourth proportional to 3,848.33, 5,776.16 and 2,000.79 is: 3,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.33 : 5,776.16 = 2,000.79 : x
  2. Step 2: Convert to fraction form
    3,848.33/5,776.16 = 2,000.79/x
  3. Step 3: Cross multiply
    3,848.33x = 5,776.16 × 2,000.79
  4. Step 4: Simplify right side
    3,848.33x = 11,556,883.17
  5. Step 5: Solve for x
    x = 11,556,883.17/3,848.33
  6. Step 6: Final answer
    x = 3,003.09

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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.