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Finding the Fourth Proportional to 5,198.63, 7,797.03 and 1,691.13

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Solution

The fourth proportional to 5,198.63, 7,797.03 and 1,691.13 is: 2,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.63 : 7,797.03 = 1,691.13 : x
  2. Step 2: Convert to fraction form
    5,198.63/7,797.03 = 1,691.13/x
  3. Step 3: Cross multiply
    5,198.63x = 7,797.03 × 1,691.13
  4. Step 4: Simplify right side
    5,198.63x = 13,185,784.65
  5. Step 5: Solve for x
    x = 13,185,784.65/5,198.63
  6. Step 6: Final answer
    x = 2,536.40

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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.