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Finding the Fourth Proportional to 5,799.42, 8,692.98 and 2,512.77

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Solution

The fourth proportional to 5,799.42, 8,692.98 and 2,512.77 is: 3,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.42 : 8,692.98 = 2,512.77 : x
  2. Step 2: Convert to fraction form
    5,799.42/8,692.98 = 2,512.77/x
  3. Step 3: Cross multiply
    5,799.42x = 8,692.98 × 2,512.77
  4. Step 4: Simplify right side
    5,799.42x = 21,843,483.90
  5. Step 5: Solve for x
    x = 21,843,483.90/5,799.42
  6. Step 6: Final answer
    x = 3,766.49

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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.