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Finding the Fourth Proportional to 3,699.02, 5,104.66 and 2,020.45

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Solution

The fourth proportional to 3,699.02, 5,104.66 and 2,020.45 is: 2,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.02 : 5,104.66 = 2,020.45 : x
  2. Step 2: Convert to fraction form
    3,699.02/5,104.66 = 2,020.45/x
  3. Step 3: Cross multiply
    3,699.02x = 5,104.66 × 2,020.45
  4. Step 4: Simplify right side
    3,699.02x = 10,313,710.30
  5. Step 5: Solve for x
    x = 10,313,710.30/3,699.02
  6. Step 6: Final answer
    x = 2,788.23

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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.