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Finding the Fourth Proportional to 4,462.36, 6,683.82 and 2,149

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Solution

The fourth proportional to 4,462.36, 6,683.82 and 2,149 is: 3,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.36 : 6,683.82 = 2,149 : x
  2. Step 2: Convert to fraction form
    4,462.36/6,683.82 = 2,149/x
  3. Step 3: Cross multiply
    4,462.36x = 6,683.82 × 2,149
  4. Step 4: Simplify right side
    4,462.36x = 14,363,529.18
  5. Step 5: Solve for x
    x = 14,363,529.18/4,462.36
  6. Step 6: Final answer
    x = 3,218.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.