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Finding the Fourth Proportional to 4,197.99, 6,296.58 and 1,077.90

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Solution

The fourth proportional to 4,197.99, 6,296.58 and 1,077.90 is: 1,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.99 : 6,296.58 = 1,077.90 : x
  2. Step 2: Convert to fraction form
    4,197.99/6,296.58 = 1,077.90/x
  3. Step 3: Cross multiply
    4,197.99x = 6,296.58 × 1,077.90
  4. Step 4: Simplify right side
    4,197.99x = 6,787,083.58
  5. Step 5: Solve for x
    x = 6,787,083.58/4,197.99
  6. Step 6: Final answer
    x = 1,616.75

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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.