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Finding the Fourth Proportional to 5,361.72, 7,401.24 and 5,213.76

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Solution

The fourth proportional to 5,361.72, 7,401.24 and 5,213.76 is: 7,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.72 : 7,401.24 = 5,213.76 : x
  2. Step 2: Convert to fraction form
    5,361.72/7,401.24 = 5,213.76/x
  3. Step 3: Cross multiply
    5,361.72x = 7,401.24 × 5,213.76
  4. Step 4: Simplify right side
    5,361.72x = 38,588,289.06
  5. Step 5: Solve for x
    x = 38,588,289.06/5,361.72
  6. Step 6: Final answer
    x = 7,197.00

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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.