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Finding the Fourth Proportional to 3,343.92, 4,616.87 and 2,086.89

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Solution

The fourth proportional to 3,343.92, 4,616.87 and 2,086.89 is: 2,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.92 : 4,616.87 = 2,086.89 : x
  2. Step 2: Convert to fraction form
    3,343.92/4,616.87 = 2,086.89/x
  3. Step 3: Cross multiply
    3,343.92x = 4,616.87 × 2,086.89
  4. Step 4: Simplify right side
    3,343.92x = 9,634,889.40
  5. Step 5: Solve for x
    x = 9,634,889.40/3,343.92
  6. Step 6: Final answer
    x = 2,881.32

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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.