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Finding the Fourth Proportional to 3,885.18, 5,830.20 and 1,544.82

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Solution

The fourth proportional to 3,885.18, 5,830.20 and 1,544.82 is: 2,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.18 : 5,830.20 = 1,544.82 : x
  2. Step 2: Convert to fraction form
    3,885.18/5,830.20 = 1,544.82/x
  3. Step 3: Cross multiply
    3,885.18x = 5,830.20 × 1,544.82
  4. Step 4: Simplify right side
    3,885.18x = 9,006,609.56
  5. Step 5: Solve for x
    x = 9,006,609.56/3,885.18
  6. Step 6: Final answer
    x = 2,318.20

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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.