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Finding the Fourth Proportional to 5,174.16, 7,764.84 and 2,250.96

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Solution

The fourth proportional to 5,174.16, 7,764.84 and 2,250.96 is: 3,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.16 : 7,764.84 = 2,250.96 : x
  2. Step 2: Convert to fraction form
    5,174.16/7,764.84 = 2,250.96/x
  3. Step 3: Cross multiply
    5,174.16x = 7,764.84 × 2,250.96
  4. Step 4: Simplify right side
    5,174.16x = 17,478,344.25
  5. Step 5: Solve for x
    x = 17,478,344.25/5,174.16
  6. Step 6: Final answer
    x = 3,378.01

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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.