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Finding the Fourth Proportional to 3,691.80, 5,158.80 and 3,691.80

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Solution

The fourth proportional to 3,691.80, 5,158.80 and 3,691.80 is: 5,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.80 : 5,158.80 = 3,691.80 : x
  2. Step 2: Convert to fraction form
    3,691.80/5,158.80 = 3,691.80/x
  3. Step 3: Cross multiply
    3,691.80x = 5,158.80 × 3,691.80
  4. Step 4: Simplify right side
    3,691.80x = 19,045,257.84
  5. Step 5: Solve for x
    x = 19,045,257.84/3,691.80
  6. Step 6: Final answer
    x = 5,158.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.