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Finding the Fourth Proportional to 4,197.72, 6,297.96 and 2,006.16

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Solution

The fourth proportional to 4,197.72, 6,297.96 and 2,006.16 is: 3,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.72 : 6,297.96 = 2,006.16 : x
  2. Step 2: Convert to fraction form
    4,197.72/6,297.96 = 2,006.16/x
  3. Step 3: Cross multiply
    4,197.72x = 6,297.96 × 2,006.16
  4. Step 4: Simplify right side
    4,197.72x = 12,634,715.43
  5. Step 5: Solve for x
    x = 12,634,715.43/4,197.72
  6. Step 6: Final answer
    x = 3,009.90

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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.