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Finding the Fourth Proportional to 3,877.50, 5,816.38 and 1,537.94

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Solution

The fourth proportional to 3,877.50, 5,816.38 and 1,537.94 is: 2,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.50 : 5,816.38 = 1,537.94 : x
  2. Step 2: Convert to fraction form
    3,877.50/5,816.38 = 1,537.94/x
  3. Step 3: Cross multiply
    3,877.50x = 5,816.38 × 1,537.94
  4. Step 4: Simplify right side
    3,877.50x = 8,945,243.46
  5. Step 5: Solve for x
    x = 8,945,243.46/3,877.50
  6. Step 6: Final answer
    x = 2,306.96

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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.