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Finding the Fourth Proportional to 5,107.06, 7,658.97 and 1,643.50

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Solution

The fourth proportional to 5,107.06, 7,658.97 and 1,643.50 is: 2,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.06 : 7,658.97 = 1,643.50 : x
  2. Step 2: Convert to fraction form
    5,107.06/7,658.97 = 1,643.50/x
  3. Step 3: Cross multiply
    5,107.06x = 7,658.97 × 1,643.50
  4. Step 4: Simplify right side
    5,107.06x = 12,587,517.20
  5. Step 5: Solve for x
    x = 12,587,517.20/5,107.06
  6. Step 6: Final answer
    x = 2,464.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.