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Finding the Fourth Proportional to 3,644.19, 5,027.27 and 2,384.78

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Solution

The fourth proportional to 3,644.19, 5,027.27 and 2,384.78 is: 3,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.19 : 5,027.27 = 2,384.78 : x
  2. Step 2: Convert to fraction form
    3,644.19/5,027.27 = 2,384.78/x
  3. Step 3: Cross multiply
    3,644.19x = 5,027.27 × 2,384.78
  4. Step 4: Simplify right side
    3,644.19x = 11,988,895.89
  5. Step 5: Solve for x
    x = 11,988,895.89/3,644.19
  6. Step 6: Final answer
    x = 3,289.87

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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.