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Finding the Fourth Proportional to 5,163.82, 7,746.52 and 1,700.26

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Solution

The fourth proportional to 5,163.82, 7,746.52 and 1,700.26 is: 2,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.82 : 7,746.52 = 1,700.26 : x
  2. Step 2: Convert to fraction form
    5,163.82/7,746.52 = 1,700.26/x
  3. Step 3: Cross multiply
    5,163.82x = 7,746.52 × 1,700.26
  4. Step 4: Simplify right side
    5,163.82x = 13,171,098.10
  5. Step 5: Solve for x
    x = 13,171,098.10/5,163.82
  6. Step 6: Final answer
    x = 2,550.65

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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.