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Finding the Fourth Proportional to 3,815.62, 5,723.43 and 1,218.76

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Solution

The fourth proportional to 3,815.62, 5,723.43 and 1,218.76 is: 1,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.62 : 5,723.43 = 1,218.76 : x
  2. Step 2: Convert to fraction form
    3,815.62/5,723.43 = 1,218.76/x
  3. Step 3: Cross multiply
    3,815.62x = 5,723.43 × 1,218.76
  4. Step 4: Simplify right side
    3,815.62x = 6,975,487.55
  5. Step 5: Solve for x
    x = 6,975,487.55/3,815.62
  6. Step 6: Final answer
    x = 1,828.14

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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.