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Finding the Fourth Proportional to 5,877.44, 8,822.36 and 3,103.42

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Solution

The fourth proportional to 5,877.44, 8,822.36 and 3,103.42 is: 4,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.44 : 8,822.36 = 3,103.42 : x
  2. Step 2: Convert to fraction form
    5,877.44/8,822.36 = 3,103.42/x
  3. Step 3: Cross multiply
    5,877.44x = 8,822.36 × 3,103.42
  4. Step 4: Simplify right side
    5,877.44x = 27,379,488.47
  5. Step 5: Solve for x
    x = 27,379,488.47/5,877.44
  6. Step 6: Final answer
    x = 4,658.40

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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.