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Finding the Fourth Proportional to 4,069, 5,616.66 and 2,413

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Solution

The fourth proportional to 4,069, 5,616.66 and 2,413 is: 3,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069 : 5,616.66 = 2,413 : x
  2. Step 2: Convert to fraction form
    4,069/5,616.66 = 2,413/x
  3. Step 3: Cross multiply
    4,069x = 5,616.66 × 2,413
  4. Step 4: Simplify right side
    4,069x = 13,553,000.58
  5. Step 5: Solve for x
    x = 13,553,000.58/4,069
  6. Step 6: Final answer
    x = 3,330.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.