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Finding the Fourth Proportional to 4,844.80, 6,687.84 and 4,102.66

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Solution

The fourth proportional to 4,844.80, 6,687.84 and 4,102.66 is: 5,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.80 : 6,687.84 = 4,102.66 : x
  2. Step 2: Convert to fraction form
    4,844.80/6,687.84 = 4,102.66/x
  3. Step 3: Cross multiply
    4,844.80x = 6,687.84 × 4,102.66
  4. Step 4: Simplify right side
    4,844.80x = 27,437,933.65
  5. Step 5: Solve for x
    x = 27,437,933.65/4,844.80
  6. Step 6: Final answer
    x = 5,663.38

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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.