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Finding the Fourth Proportional to 5,200.82, 7,801.73 and 1,913.98

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Solution

The fourth proportional to 5,200.82, 7,801.73 and 1,913.98 is: 2,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.82 : 7,801.73 = 1,913.98 : x
  2. Step 2: Convert to fraction form
    5,200.82/7,801.73 = 1,913.98/x
  3. Step 3: Cross multiply
    5,200.82x = 7,801.73 × 1,913.98
  4. Step 4: Simplify right side
    5,200.82x = 14,932,306.61
  5. Step 5: Solve for x
    x = 14,932,306.61/5,200.82
  6. Step 6: Final answer
    x = 2,871.14

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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.