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Finding the Fourth Proportional to 4,201.53, 6,297.84 and 2,005.62

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Solution

The fourth proportional to 4,201.53, 6,297.84 and 2,005.62 is: 3,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.53 : 6,297.84 = 2,005.62 : x
  2. Step 2: Convert to fraction form
    4,201.53/6,297.84 = 2,005.62/x
  3. Step 3: Cross multiply
    4,201.53x = 6,297.84 × 2,005.62
  4. Step 4: Simplify right side
    4,201.53x = 12,631,073.86
  5. Step 5: Solve for x
    x = 12,631,073.86/4,201.53
  6. Step 6: Final answer
    x = 3,006.30

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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.