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Finding the Fourth Proportional to 3,637.65, 5,450.40 and 3,115.20

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Solution

The fourth proportional to 3,637.65, 5,450.40 and 3,115.20 is: 4,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.65 : 5,450.40 = 3,115.20 : x
  2. Step 2: Convert to fraction form
    3,637.65/5,450.40 = 3,115.20/x
  3. Step 3: Cross multiply
    3,637.65x = 5,450.40 × 3,115.20
  4. Step 4: Simplify right side
    3,637.65x = 16,979,086.08
  5. Step 5: Solve for x
    x = 16,979,086.08/3,637.65
  6. Step 6: Final answer
    x = 4,667.60

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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.