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Finding the Fourth Proportional to 5,889.61, 8,833.62 and 2,191.33

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Solution

The fourth proportional to 5,889.61, 8,833.62 and 2,191.33 is: 3,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.61 : 8,833.62 = 2,191.33 : x
  2. Step 2: Convert to fraction form
    5,889.61/8,833.62 = 2,191.33/x
  3. Step 3: Cross multiply
    5,889.61x = 8,833.62 × 2,191.33
  4. Step 4: Simplify right side
    5,889.61x = 19,357,376.51
  5. Step 5: Solve for x
    x = 19,357,376.51/5,889.61
  6. Step 6: Final answer
    x = 3,286.70

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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.