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Finding the Fourth Proportional to 4,894.02, 6,753.78 and 2,769.66

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Solution

The fourth proportional to 4,894.02, 6,753.78 and 2,769.66 is: 3,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.02 : 6,753.78 = 2,769.66 : x
  2. Step 2: Convert to fraction form
    4,894.02/6,753.78 = 2,769.66/x
  3. Step 3: Cross multiply
    4,894.02x = 6,753.78 × 2,769.66
  4. Step 4: Simplify right side
    4,894.02x = 18,705,674.31
  5. Step 5: Solve for x
    x = 18,705,674.31/4,894.02
  6. Step 6: Final answer
    x = 3,822.15

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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.