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Finding the Fourth Proportional to 5,198.01, 7,169.18 and 4,601.13

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Solution

The fourth proportional to 5,198.01, 7,169.18 and 4,601.13 is: 6,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.01 : 7,169.18 = 4,601.13 : x
  2. Step 2: Convert to fraction form
    5,198.01/7,169.18 = 4,601.13/x
  3. Step 3: Cross multiply
    5,198.01x = 7,169.18 × 4,601.13
  4. Step 4: Simplify right side
    5,198.01x = 32,986,306.17
  5. Step 5: Solve for x
    x = 32,986,306.17/5,198.01
  6. Step 6: Final answer
    x = 6,345.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.