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Finding the Fourth Proportional to 5,627.42, 7,765.32 and 3,269.34

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Solution

The fourth proportional to 5,627.42, 7,765.32 and 3,269.34 is: 4,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.42 : 7,765.32 = 3,269.34 : x
  2. Step 2: Convert to fraction form
    5,627.42/7,765.32 = 3,269.34/x
  3. Step 3: Cross multiply
    5,627.42x = 7,765.32 × 3,269.34
  4. Step 4: Simplify right side
    5,627.42x = 25,387,471.29
  5. Step 5: Solve for x
    x = 25,387,471.29/5,627.42
  6. Step 6: Final answer
    x = 4,511.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.