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Finding the Fourth Proportional to 4,287.66, 5,894.28 and 3,687.96

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Solution

The fourth proportional to 4,287.66, 5,894.28 and 3,687.96 is: 5,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.66 : 5,894.28 = 3,687.96 : x
  2. Step 2: Convert to fraction form
    4,287.66/5,894.28 = 3,687.96/x
  3. Step 3: Cross multiply
    4,287.66x = 5,894.28 × 3,687.96
  4. Step 4: Simplify right side
    4,287.66x = 21,737,868.87
  5. Step 5: Solve for x
    x = 21,737,868.87/4,287.66
  6. Step 6: Final answer
    x = 5,069.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.