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Finding the Fourth Proportional to 5,200.82, 7,801.98 and 1,503.08

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Solution

The fourth proportional to 5,200.82, 7,801.98 and 1,503.08 is: 2,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.82 : 7,801.98 = 1,503.08 : x
  2. Step 2: Convert to fraction form
    5,200.82/7,801.98 = 1,503.08/x
  3. Step 3: Cross multiply
    5,200.82x = 7,801.98 × 1,503.08
  4. Step 4: Simplify right side
    5,200.82x = 11,726,953.57
  5. Step 5: Solve for x
    x = 11,726,953.57/5,200.82
  6. Step 6: Final answer
    x = 2,254.83

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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.