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Finding the Fourth Proportional to 5,770.39, 8,657.60 and 1,822.26

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Solution

The fourth proportional to 5,770.39, 8,657.60 and 1,822.26 is: 2,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.39 : 8,657.60 = 1,822.26 : x
  2. Step 2: Convert to fraction form
    5,770.39/8,657.60 = 1,822.26/x
  3. Step 3: Cross multiply
    5,770.39x = 8,657.60 × 1,822.26
  4. Step 4: Simplify right side
    5,770.39x = 15,776,398.18
  5. Step 5: Solve for x
    x = 15,776,398.18/5,770.39
  6. Step 6: Final answer
    x = 2,734.03

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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.