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Finding the Fourth Proportional to 3,816.18, 5,724.54 and 1,218.24

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Solution

The fourth proportional to 3,816.18, 5,724.54 and 1,218.24 is: 1,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.18 : 5,724.54 = 1,218.24 : x
  2. Step 2: Convert to fraction form
    3,816.18/5,724.54 = 1,218.24/x
  3. Step 3: Cross multiply
    3,816.18x = 5,724.54 × 1,218.24
  4. Step 4: Simplify right side
    3,816.18x = 6,973,863.61
  5. Step 5: Solve for x
    x = 6,973,863.61/3,816.18
  6. Step 6: Final answer
    x = 1,827.45

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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.