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Finding the Fourth Proportional to 4,197.63, 6,297.82 and 2,006.53

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Solution

The fourth proportional to 4,197.63, 6,297.82 and 2,006.53 is: 3,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.63 : 6,297.82 = 2,006.53 : x
  2. Step 2: Convert to fraction form
    4,197.63/6,297.82 = 2,006.53/x
  3. Step 3: Cross multiply
    4,197.63x = 6,297.82 × 2,006.53
  4. Step 4: Simplify right side
    4,197.63x = 12,636,767.62
  5. Step 5: Solve for x
    x = 12,636,767.62/4,197.63
  6. Step 6: Final answer
    x = 3,010.45

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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.