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Finding the Fourth Proportional to 5,678.92, 7,836.82 and 3,161

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Solution

The fourth proportional to 5,678.92, 7,836.82 and 3,161 is: 4,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.92 : 7,836.82 = 3,161 : x
  2. Step 2: Convert to fraction form
    5,678.92/7,836.82 = 3,161/x
  3. Step 3: Cross multiply
    5,678.92x = 7,836.82 × 3,161
  4. Step 4: Simplify right side
    5,678.92x = 24,772,188.02
  5. Step 5: Solve for x
    x = 24,772,188.02/5,678.92
  6. Step 6: Final answer
    x = 4,362.13

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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.