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Finding the Fourth Proportional to 3,699.40, 5,105.18 and 2,020.82

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Solution

The fourth proportional to 3,699.40, 5,105.18 and 2,020.82 is: 2,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.40 : 5,105.18 = 2,020.82 : x
  2. Step 2: Convert to fraction form
    3,699.40/5,105.18 = 2,020.82/x
  3. Step 3: Cross multiply
    3,699.40x = 5,105.18 × 2,020.82
  4. Step 4: Simplify right side
    3,699.40x = 10,316,649.85
  5. Step 5: Solve for x
    x = 10,316,649.85/3,699.40
  6. Step 6: Final answer
    x = 2,788.74

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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.