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Finding the Fourth Proportional to 5,270.22, 7,256.25 and 4,640.31

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Solution

The fourth proportional to 5,270.22, 7,256.25 and 4,640.31 is: 6,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.22 : 7,256.25 = 4,640.31 : x
  2. Step 2: Convert to fraction form
    5,270.22/7,256.25 = 4,640.31/x
  3. Step 3: Cross multiply
    5,270.22x = 7,256.25 × 4,640.31
  4. Step 4: Simplify right side
    5,270.22x = 33,671,249.44
  5. Step 5: Solve for x
    x = 33,671,249.44/5,270.22
  6. Step 6: Final answer
    x = 6,388.96

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