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Finding the Fourth Proportional to 5,192.79, 7,172.02 and 3,782.78

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Solution

The fourth proportional to 5,192.79, 7,172.02 and 3,782.78 is: 5,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.79 : 7,172.02 = 3,782.78 : x
  2. Step 2: Convert to fraction form
    5,192.79/7,172.02 = 3,782.78/x
  3. Step 3: Cross multiply
    5,192.79x = 7,172.02 × 3,782.78
  4. Step 4: Simplify right side
    5,192.79x = 27,130,173.82
  5. Step 5: Solve for x
    x = 27,130,173.82/5,192.79
  6. Step 6: Final answer
    x = 5,224.59

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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.