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Finding the Fourth Proportional to 3,682, 5,521.65 and 1,216.09

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Solution

The fourth proportional to 3,682, 5,521.65 and 1,216.09 is: 1,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682 : 5,521.65 = 1,216.09 : x
  2. Step 2: Convert to fraction form
    3,682/5,521.65 = 1,216.09/x
  3. Step 3: Cross multiply
    3,682x = 5,521.65 × 1,216.09
  4. Step 4: Simplify right side
    3,682x = 6,714,823.35
  5. Step 5: Solve for x
    x = 6,714,823.35/3,682
  6. Step 6: Final answer
    x = 1,823.69

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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.