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Finding the Fourth Proportional to 5,584.62, 8,373.72 and 2,299.98

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Solution

The fourth proportional to 5,584.62, 8,373.72 and 2,299.98 is: 3,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.62 : 8,373.72 = 2,299.98 : x
  2. Step 2: Convert to fraction form
    5,584.62/8,373.72 = 2,299.98/x
  3. Step 3: Cross multiply
    5,584.62x = 8,373.72 × 2,299.98
  4. Step 4: Simplify right side
    5,584.62x = 19,259,388.53
  5. Step 5: Solve for x
    x = 19,259,388.53/5,584.62
  6. Step 6: Final answer
    x = 3,448.65

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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.