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Finding the Fourth Proportional to 5,220.32, 7,825.44 and 1,755.68

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Solution

The fourth proportional to 5,220.32, 7,825.44 and 1,755.68 is: 2,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.32 : 7,825.44 = 1,755.68 : x
  2. Step 2: Convert to fraction form
    5,220.32/7,825.44 = 1,755.68/x
  3. Step 3: Cross multiply
    5,220.32x = 7,825.44 × 1,755.68
  4. Step 4: Simplify right side
    5,220.32x = 13,738,968.50
  5. Step 5: Solve for x
    x = 13,738,968.50/5,220.32
  6. Step 6: Final answer
    x = 2,631.82

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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.