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Finding the Fourth Proportional to 3,484.49, 5,227.26 and 1,019

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Solution

The fourth proportional to 3,484.49, 5,227.26 and 1,019 is: 1,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.49 : 5,227.26 = 1,019 : x
  2. Step 2: Convert to fraction form
    3,484.49/5,227.26 = 1,019/x
  3. Step 3: Cross multiply
    3,484.49x = 5,227.26 × 1,019
  4. Step 4: Simplify right side
    3,484.49x = 5,326,577.94
  5. Step 5: Solve for x
    x = 5,326,577.94/3,484.49
  6. Step 6: Final answer
    x = 1,528.65

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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.