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Finding the Fourth Proportional to 5,902.14, 8,854.17 and 2,392.37

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Solution

The fourth proportional to 5,902.14, 8,854.17 and 2,392.37 is: 3,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.14 : 8,854.17 = 2,392.37 : x
  2. Step 2: Convert to fraction form
    5,902.14/8,854.17 = 2,392.37/x
  3. Step 3: Cross multiply
    5,902.14x = 8,854.17 × 2,392.37
  4. Step 4: Simplify right side
    5,902.14x = 21,182,450.68
  5. Step 5: Solve for x
    x = 21,182,450.68/5,902.14
  6. Step 6: Final answer
    x = 3,588.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.