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Finding the Fourth Proportional to 3,699.70, 5,105.34 and 2,020.77

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Solution

The fourth proportional to 3,699.70, 5,105.34 and 2,020.77 is: 2,788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.70 : 5,105.34 = 2,020.77 : x
  2. Step 2: Convert to fraction form
    3,699.70/5,105.34 = 2,020.77/x
  3. Step 3: Cross multiply
    3,699.70x = 5,105.34 × 2,020.77
  4. Step 4: Simplify right side
    3,699.70x = 10,316,717.91
  5. Step 5: Solve for x
    x = 10,316,717.91/3,699.70
  6. Step 6: Final answer
    x = 2,788.53

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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.