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Finding the Fourth Proportional to 5,060.25, 6,982.94 and 2,822.11

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Solution

The fourth proportional to 5,060.25, 6,982.94 and 2,822.11 is: 3,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,060.25 : 6,982.94 = 2,822.11 : x
  2. Step 2: Convert to fraction form
    5,060.25/6,982.94 = 2,822.11/x
  3. Step 3: Cross multiply
    5,060.25x = 6,982.94 × 2,822.11
  4. Step 4: Simplify right side
    5,060.25x = 19,706,614.40
  5. Step 5: Solve for x
    x = 19,706,614.40/5,060.25
  6. Step 6: Final answer
    x = 3,894.40

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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.