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Finding the Fourth Proportional to 5,224.69, 7,203.09 and 4,475.44

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Solution

The fourth proportional to 5,224.69, 7,203.09 and 4,475.44 is: 6,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.69 : 7,203.09 = 4,475.44 : x
  2. Step 2: Convert to fraction form
    5,224.69/7,203.09 = 4,475.44/x
  3. Step 3: Cross multiply
    5,224.69x = 7,203.09 × 4,475.44
  4. Step 4: Simplify right side
    5,224.69x = 32,236,997.11
  5. Step 5: Solve for x
    x = 32,236,997.11/5,224.69
  6. Step 6: Final answer
    x = 6,170.13

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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.