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Finding the Fourth Proportional to 3,866.29, 5,333.10 and 2,371.62

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Solution

The fourth proportional to 3,866.29, 5,333.10 and 2,371.62 is: 3,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.29 : 5,333.10 = 2,371.62 : x
  2. Step 2: Convert to fraction form
    3,866.29/5,333.10 = 2,371.62/x
  3. Step 3: Cross multiply
    3,866.29x = 5,333.10 × 2,371.62
  4. Step 4: Simplify right side
    3,866.29x = 12,648,086.62
  5. Step 5: Solve for x
    x = 12,648,086.62/3,866.29
  6. Step 6: Final answer
    x = 3,271.38

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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.