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Finding the Fourth Proportional to 5,687.29, 8,525.73 and 4,815.41

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Solution

The fourth proportional to 5,687.29, 8,525.73 and 4,815.41 is: 7,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.29 : 8,525.73 = 4,815.41 : x
  2. Step 2: Convert to fraction form
    5,687.29/8,525.73 = 4,815.41/x
  3. Step 3: Cross multiply
    5,687.29x = 8,525.73 × 4,815.41
  4. Step 4: Simplify right side
    5,687.29x = 41,054,885.50
  5. Step 5: Solve for x
    x = 41,054,885.50/5,687.29
  6. Step 6: Final answer
    x = 7,218.71

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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.