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Finding the Fourth Proportional to 3,821.55, 5,727.54 and 2,066.49

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Solution

The fourth proportional to 3,821.55, 5,727.54 and 2,066.49 is: 3,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.55 : 5,727.54 = 2,066.49 : x
  2. Step 2: Convert to fraction form
    3,821.55/5,727.54 = 2,066.49/x
  3. Step 3: Cross multiply
    3,821.55x = 5,727.54 × 2,066.49
  4. Step 4: Simplify right side
    3,821.55x = 11,835,904.13
  5. Step 5: Solve for x
    x = 11,835,904.13/3,821.55
  6. Step 6: Final answer
    x = 3,097.15

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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.