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Finding the Fourth Proportional to 5,211.97, 7,192.53 and 2,821.93

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Solution

The fourth proportional to 5,211.97, 7,192.53 and 2,821.93 is: 3,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.97 : 7,192.53 = 2,821.93 : x
  2. Step 2: Convert to fraction form
    5,211.97/7,192.53 = 2,821.93/x
  3. Step 3: Cross multiply
    5,211.97x = 7,192.53 × 2,821.93
  4. Step 4: Simplify right side
    5,211.97x = 20,296,816.18
  5. Step 5: Solve for x
    x = 20,296,816.18/5,211.97
  6. Step 6: Final answer
    x = 3,894.27

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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.