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Finding the Fourth Proportional to 5,878.24, 8,813.42 and 3,101.98

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Solution

The fourth proportional to 5,878.24, 8,813.42 and 3,101.98 is: 4,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.24 : 8,813.42 = 3,101.98 : x
  2. Step 2: Convert to fraction form
    5,878.24/8,813.42 = 3,101.98/x
  3. Step 3: Cross multiply
    5,878.24x = 8,813.42 × 3,101.98
  4. Step 4: Simplify right side
    5,878.24x = 27,339,052.57
  5. Step 5: Solve for x
    x = 27,339,052.57/5,878.24
  6. Step 6: Final answer
    x = 4,650.89

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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.