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Finding the Fourth Proportional to 3,617.38, 5,422.41 and 1,427.65

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Solution

The fourth proportional to 3,617.38, 5,422.41 and 1,427.65 is: 2,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.38 : 5,422.41 = 1,427.65 : x
  2. Step 2: Convert to fraction form
    3,617.38/5,422.41 = 1,427.65/x
  3. Step 3: Cross multiply
    3,617.38x = 5,422.41 × 1,427.65
  4. Step 4: Simplify right side
    3,617.38x = 7,741,303.64
  5. Step 5: Solve for x
    x = 7,741,303.64/3,617.38
  6. Step 6: Final answer
    x = 2,140.03

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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.