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Finding the Fourth Proportional to 3,658.65, 5,481.33 and 1,685.94

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Solution

The fourth proportional to 3,658.65, 5,481.33 and 1,685.94 is: 2,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.65 : 5,481.33 = 1,685.94 : x
  2. Step 2: Convert to fraction form
    3,658.65/5,481.33 = 1,685.94/x
  3. Step 3: Cross multiply
    3,658.65x = 5,481.33 × 1,685.94
  4. Step 4: Simplify right side
    3,658.65x = 9,241,193.50
  5. Step 5: Solve for x
    x = 9,241,193.50/3,658.65
  6. Step 6: Final answer
    x = 2,525.85

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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.