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Finding the Fourth Proportional to 3,817.89, 5,269.02 and 2,139.28

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Solution

The fourth proportional to 3,817.89, 5,269.02 and 2,139.28 is: 2,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.89 : 5,269.02 = 2,139.28 : x
  2. Step 2: Convert to fraction form
    3,817.89/5,269.02 = 2,139.28/x
  3. Step 3: Cross multiply
    3,817.89x = 5,269.02 × 2,139.28
  4. Step 4: Simplify right side
    3,817.89x = 11,271,887.91
  5. Step 5: Solve for x
    x = 11,271,887.91/3,817.89
  6. Step 6: Final answer
    x = 2,952.38

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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.