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Finding the Fourth Proportional to 3,644.40, 5,453.64 and 2,097.84

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Solution

The fourth proportional to 3,644.40, 5,453.64 and 2,097.84 is: 3,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.40 : 5,453.64 = 2,097.84 : x
  2. Step 2: Convert to fraction form
    3,644.40/5,453.64 = 2,097.84/x
  3. Step 3: Cross multiply
    3,644.40x = 5,453.64 × 2,097.84
  4. Step 4: Simplify right side
    3,644.40x = 11,440,864.14
  5. Step 5: Solve for x
    x = 11,440,864.14/3,644.40
  6. Step 6: Final answer
    x = 3,139.30

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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.