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Finding the Fourth Proportional to 6,127.84, 8,456.34 and 3,333.34

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Solution

The fourth proportional to 6,127.84, 8,456.34 and 3,333.34 is: 4,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.84 : 8,456.34 = 3,333.34 : x
  2. Step 2: Convert to fraction form
    6,127.84/8,456.34 = 3,333.34/x
  3. Step 3: Cross multiply
    6,127.84x = 8,456.34 × 3,333.34
  4. Step 4: Simplify right side
    6,127.84x = 28,187,856.38
  5. Step 5: Solve for x
    x = 28,187,856.38/6,127.84
  6. Step 6: Final answer
    x = 4,599.97

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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.