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Finding the Fourth Proportional to 3,683.22, 5,521.50 and 1,342.68

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Solution

The fourth proportional to 3,683.22, 5,521.50 and 1,342.68 is: 2,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.22 : 5,521.50 = 1,342.68 : x
  2. Step 2: Convert to fraction form
    3,683.22/5,521.50 = 1,342.68/x
  3. Step 3: Cross multiply
    3,683.22x = 5,521.50 × 1,342.68
  4. Step 4: Simplify right side
    3,683.22x = 7,413,607.62
  5. Step 5: Solve for x
    x = 7,413,607.62/3,683.22
  6. Step 6: Final answer
    x = 2,012.81

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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.