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Finding the Fourth Proportional to 5,692.63, 7,854.82 and 4,201.83

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Solution

The fourth proportional to 5,692.63, 7,854.82 and 4,201.83 is: 5,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.63 : 7,854.82 = 4,201.83 : x
  2. Step 2: Convert to fraction form
    5,692.63/7,854.82 = 4,201.83/x
  3. Step 3: Cross multiply
    5,692.63x = 7,854.82 × 4,201.83
  4. Step 4: Simplify right side
    5,692.63x = 33,004,618.32
  5. Step 5: Solve for x
    x = 33,004,618.32/5,692.63
  6. Step 6: Final answer
    x = 5,797.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.