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Finding the Fourth Proportional to 5,887.54, 8,834.38 and 2,378.42

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Solution

The fourth proportional to 5,887.54, 8,834.38 and 2,378.42 is: 3,568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.54 : 8,834.38 = 2,378.42 : x
  2. Step 2: Convert to fraction form
    5,887.54/8,834.38 = 2,378.42/x
  3. Step 3: Cross multiply
    5,887.54x = 8,834.38 × 2,378.42
  4. Step 4: Simplify right side
    5,887.54x = 21,011,815.96
  5. Step 5: Solve for x
    x = 21,011,815.96/5,887.54
  6. Step 6: Final answer
    x = 3,568.86

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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.