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Finding the Fourth Proportional to 4,846, 6,685.80 and 2,721.24

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Solution

The fourth proportional to 4,846, 6,685.80 and 2,721.24 is: 3,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846 : 6,685.80 = 2,721.24 : x
  2. Step 2: Convert to fraction form
    4,846/6,685.80 = 2,721.24/x
  3. Step 3: Cross multiply
    4,846x = 6,685.80 × 2,721.24
  4. Step 4: Simplify right side
    4,846x = 18,193,666.39
  5. Step 5: Solve for x
    x = 18,193,666.39/4,846
  6. Step 6: Final answer
    x = 3,754.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.