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Finding the Fourth Proportional to 5,240.24, 7,853.42 and 3,847.06

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Solution

The fourth proportional to 5,240.24, 7,853.42 and 3,847.06 is: 5,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.24 : 7,853.42 = 3,847.06 : x
  2. Step 2: Convert to fraction form
    5,240.24/7,853.42 = 3,847.06/x
  3. Step 3: Cross multiply
    5,240.24x = 7,853.42 × 3,847.06
  4. Step 4: Simplify right side
    5,240.24x = 30,212,578.34
  5. Step 5: Solve for x
    x = 30,212,578.34/5,240.24
  6. Step 6: Final answer
    x = 5,765.50

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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.