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Finding the Fourth Proportional to 5,889.91, 8,836.62 and 2,378.11

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Solution

The fourth proportional to 5,889.91, 8,836.62 and 2,378.11 is: 3,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.91 : 8,836.62 = 2,378.11 : x
  2. Step 2: Convert to fraction form
    5,889.91/8,836.62 = 2,378.11/x
  3. Step 3: Cross multiply
    5,889.91x = 8,836.62 × 2,378.11
  4. Step 4: Simplify right side
    5,889.91x = 21,014,454.39
  5. Step 5: Solve for x
    x = 21,014,454.39/5,889.91
  6. Step 6: Final answer
    x = 3,567.87

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Why These Related Problems?

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