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Finding the Fourth Proportional to 5,215.29, 7,822.29 and 2,095.17

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Solution

The fourth proportional to 5,215.29, 7,822.29 and 2,095.17 is: 3,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.29 : 7,822.29 = 2,095.17 : x
  2. Step 2: Convert to fraction form
    5,215.29/7,822.29 = 2,095.17/x
  3. Step 3: Cross multiply
    5,215.29x = 7,822.29 × 2,095.17
  4. Step 4: Simplify right side
    5,215.29x = 16,388,988.23
  5. Step 5: Solve for x
    x = 16,388,988.23/5,215.29
  6. Step 6: Final answer
    x = 3,142.49

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Why These Related Problems?

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