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Finding the Fourth Proportional to 3,500.65, 5,247.87 and 1,422.19

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Solution

The fourth proportional to 3,500.65, 5,247.87 and 1,422.19 is: 2,132.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.65 : 5,247.87 = 1,422.19 : x
  2. Step 2: Convert to fraction form
    3,500.65/5,247.87 = 1,422.19/x
  3. Step 3: Cross multiply
    3,500.65x = 5,247.87 × 1,422.19
  4. Step 4: Simplify right side
    3,500.65x = 7,463,468.24
  5. Step 5: Solve for x
    x = 7,463,468.24/3,500.65
  6. Step 6: Final answer
    x = 2,132.02

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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.