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Finding the Fourth Proportional to 5,166.36, 7,748.39 and 1,468.52

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Solution

The fourth proportional to 5,166.36, 7,748.39 and 1,468.52 is: 2,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.36 : 7,748.39 = 1,468.52 : x
  2. Step 2: Convert to fraction form
    5,166.36/7,748.39 = 1,468.52/x
  3. Step 3: Cross multiply
    5,166.36x = 7,748.39 × 1,468.52
  4. Step 4: Simplify right side
    5,166.36x = 11,378,619.60
  5. Step 5: Solve for x
    x = 11,378,619.60/5,166.36
  6. Step 6: Final answer
    x = 2,202.44

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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.