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Finding the Fourth Proportional to 5,977.83, 8,967.83 and 2,692.47

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Solution

The fourth proportional to 5,977.83, 8,967.83 and 2,692.47 is: 4,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.83 : 8,967.83 = 2,692.47 : x
  2. Step 2: Convert to fraction form
    5,977.83/8,967.83 = 2,692.47/x
  3. Step 3: Cross multiply
    5,977.83x = 8,967.83 × 2,692.47
  4. Step 4: Simplify right side
    5,977.83x = 24,145,599.78
  5. Step 5: Solve for x
    x = 24,145,599.78/5,977.83
  6. Step 6: Final answer
    x = 4,039.19

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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.