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Finding the Fourth Proportional to 4,939.94, 6,816.89 and 2,701.82

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Solution

The fourth proportional to 4,939.94, 6,816.89 and 2,701.82 is: 3,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.94 : 6,816.89 = 2,701.82 : x
  2. Step 2: Convert to fraction form
    4,939.94/6,816.89 = 2,701.82/x
  3. Step 3: Cross multiply
    4,939.94x = 6,816.89 × 2,701.82
  4. Step 4: Simplify right side
    4,939.94x = 18,417,962.15
  5. Step 5: Solve for x
    x = 18,417,962.15/4,939.94
  6. Step 6: Final answer
    x = 3,728.38

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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.