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Finding the Fourth Proportional to 5,033.82, 7,552.03 and 1,913.88

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Solution

The fourth proportional to 5,033.82, 7,552.03 and 1,913.88 is: 2,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.82 : 7,552.03 = 1,913.88 : x
  2. Step 2: Convert to fraction form
    5,033.82/7,552.03 = 1,913.88/x
  3. Step 3: Cross multiply
    5,033.82x = 7,552.03 × 1,913.88
  4. Step 4: Simplify right side
    5,033.82x = 14,453,679.18
  5. Step 5: Solve for x
    x = 14,453,679.18/5,033.82
  6. Step 6: Final answer
    x = 2,871.31

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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.