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Finding the Fourth Proportional to 5,888.31, 8,814.92 and 5,286.96

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Solution

The fourth proportional to 5,888.31, 8,814.92 and 5,286.96 is: 7,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.31 : 8,814.92 = 5,286.96 : x
  2. Step 2: Convert to fraction form
    5,888.31/8,814.92 = 5,286.96/x
  3. Step 3: Cross multiply
    5,888.31x = 8,814.92 × 5,286.96
  4. Step 4: Simplify right side
    5,888.31x = 46,604,103.01
  5. Step 5: Solve for x
    x = 46,604,103.01/5,888.31
  6. Step 6: Final answer
    x = 7,914.68

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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.