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Finding the Fourth Proportional to 5,166.70, 7,748.70 and 1,468.51

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Solution

The fourth proportional to 5,166.70, 7,748.70 and 1,468.51 is: 2,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.70 : 7,748.70 = 1,468.51 : x
  2. Step 2: Convert to fraction form
    5,166.70/7,748.70 = 1,468.51/x
  3. Step 3: Cross multiply
    5,166.70x = 7,748.70 × 1,468.51
  4. Step 4: Simplify right side
    5,166.70x = 11,379,043.44
  5. Step 5: Solve for x
    x = 11,379,043.44/5,166.70
  6. Step 6: Final answer
    x = 2,202.38

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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.