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Finding the Fourth Proportional to 4,197.89, 6,297.14 and 1,276.19

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Solution

The fourth proportional to 4,197.89, 6,297.14 and 1,276.19 is: 1,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.89 : 6,297.14 = 1,276.19 : x
  2. Step 2: Convert to fraction form
    4,197.89/6,297.14 = 1,276.19/x
  3. Step 3: Cross multiply
    4,197.89x = 6,297.14 × 1,276.19
  4. Step 4: Simplify right side
    4,197.89x = 8,036,342.42
  5. Step 5: Solve for x
    x = 8,036,342.42/4,197.89
  6. Step 6: Final answer
    x = 1,914.38

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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.