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Finding the Fourth Proportional to 5,107.24, 7,661.13 and 1,644.76

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Solution

The fourth proportional to 5,107.24, 7,661.13 and 1,644.76 is: 2,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.24 : 7,661.13 = 1,644.76 : x
  2. Step 2: Convert to fraction form
    5,107.24/7,661.13 = 1,644.76/x
  3. Step 3: Cross multiply
    5,107.24x = 7,661.13 × 1,644.76
  4. Step 4: Simplify right side
    5,107.24x = 12,600,720.18
  5. Step 5: Solve for x
    x = 12,600,720.18/5,107.24
  6. Step 6: Final answer
    x = 2,467.23

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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.