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Finding the Fourth Proportional to 4,197.66, 6,296.78 and 1,424.62

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Solution

The fourth proportional to 4,197.66, 6,296.78 and 1,424.62 is: 2,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.66 : 6,296.78 = 1,424.62 : x
  2. Step 2: Convert to fraction form
    4,197.66/6,296.78 = 1,424.62/x
  3. Step 3: Cross multiply
    4,197.66x = 6,296.78 × 1,424.62
  4. Step 4: Simplify right side
    4,197.66x = 8,970,518.72
  5. Step 5: Solve for x
    x = 8,970,518.72/4,197.66
  6. Step 6: Final answer
    x = 2,137.03

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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.