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Finding the Fourth Proportional to 5,250.84, 7,872.01 and 1,963.46

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Solution

The fourth proportional to 5,250.84, 7,872.01 and 1,963.46 is: 2,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.84 : 7,872.01 = 1,963.46 : x
  2. Step 2: Convert to fraction form
    5,250.84/7,872.01 = 1,963.46/x
  3. Step 3: Cross multiply
    5,250.84x = 7,872.01 × 1,963.46
  4. Step 4: Simplify right side
    5,250.84x = 15,456,332.49
  5. Step 5: Solve for x
    x = 15,456,332.49/5,250.84
  6. Step 6: Final answer
    x = 2,943.59

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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.