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Finding the Fourth Proportional to 5,213.26, 7,822.06 and 2,095.49

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Solution

The fourth proportional to 5,213.26, 7,822.06 and 2,095.49 is: 3,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.26 : 7,822.06 = 2,095.49 : x
  2. Step 2: Convert to fraction form
    5,213.26/7,822.06 = 2,095.49/x
  3. Step 3: Cross multiply
    5,213.26x = 7,822.06 × 2,095.49
  4. Step 4: Simplify right side
    5,213.26x = 16,391,009.40
  5. Step 5: Solve for x
    x = 16,391,009.40/5,213.26
  6. Step 6: Final answer
    x = 3,144.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.