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Finding the Fourth Proportional to 5,166.56, 7,749.93 and 1,468.80

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Solution

The fourth proportional to 5,166.56, 7,749.93 and 1,468.80 is: 2,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.56 : 7,749.93 = 1,468.80 : x
  2. Step 2: Convert to fraction form
    5,166.56/7,749.93 = 1,468.80/x
  3. Step 3: Cross multiply
    5,166.56x = 7,749.93 × 1,468.80
  4. Step 4: Simplify right side
    5,166.56x = 11,383,097.18
  5. Step 5: Solve for x
    x = 11,383,097.18/5,166.56
  6. Step 6: Final answer
    x = 2,203.23

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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.