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Finding the Fourth Proportional to 4,855.40, 6,696.31 and 4,102.85

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Solution

The fourth proportional to 4,855.40, 6,696.31 and 4,102.85 is: 5,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.40 : 6,696.31 = 4,102.85 : x
  2. Step 2: Convert to fraction form
    4,855.40/6,696.31 = 4,102.85/x
  3. Step 3: Cross multiply
    4,855.40x = 6,696.31 × 4,102.85
  4. Step 4: Simplify right side
    4,855.40x = 27,473,934.97
  5. Step 5: Solve for x
    x = 27,473,934.97/4,855.40
  6. Step 6: Final answer
    x = 5,658.43

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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.