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Finding the Fourth Proportional to 3,758.22, 5,637.40 and 2,209.10

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Solution

The fourth proportional to 3,758.22, 5,637.40 and 2,209.10 is: 3,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.22 : 5,637.40 = 2,209.10 : x
  2. Step 2: Convert to fraction form
    3,758.22/5,637.40 = 2,209.10/x
  3. Step 3: Cross multiply
    3,758.22x = 5,637.40 × 2,209.10
  4. Step 4: Simplify right side
    3,758.22x = 12,453,546.63
  5. Step 5: Solve for x
    x = 12,453,546.63/3,758.22
  6. Step 6: Final answer
    x = 3,313.68

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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.