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Finding the Fourth Proportional to 3,864.94, 5,333.00 and 2,185.81

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Solution

The fourth proportional to 3,864.94, 5,333.00 and 2,185.81 is: 3,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.94 : 5,333.00 = 2,185.81 : x
  2. Step 2: Convert to fraction form
    3,864.94/5,333.00 = 2,185.81/x
  3. Step 3: Cross multiply
    3,864.94x = 5,333.00 × 2,185.81
  4. Step 4: Simplify right side
    3,864.94x = 11,656,900.47
  5. Step 5: Solve for x
    x = 11,656,900.47/3,864.94
  6. Step 6: Final answer
    x = 3,016.06

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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.