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Finding the Fourth Proportional to 5,298.49, 7,949.82 and 2,012.45

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Solution

The fourth proportional to 5,298.49, 7,949.82 and 2,012.45 is: 3,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.49 : 7,949.82 = 2,012.45 : x
  2. Step 2: Convert to fraction form
    5,298.49/7,949.82 = 2,012.45/x
  3. Step 3: Cross multiply
    5,298.49x = 7,949.82 × 2,012.45
  4. Step 4: Simplify right side
    5,298.49x = 15,998,615.26
  5. Step 5: Solve for x
    x = 15,998,615.26/5,298.49
  6. Step 6: Final answer
    x = 3,019.47

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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.