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Finding the Fourth Proportional to 3,692.96, 5,539.44 and 2,924

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Solution

The fourth proportional to 3,692.96, 5,539.44 and 2,924 is: 4,386

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.96 : 5,539.44 = 2,924 : x
  2. Step 2: Convert to fraction form
    3,692.96/5,539.44 = 2,924/x
  3. Step 3: Cross multiply
    3,692.96x = 5,539.44 × 2,924
  4. Step 4: Simplify right side
    3,692.96x = 16,197,322.56
  5. Step 5: Solve for x
    x = 16,197,322.56/3,692.96
  6. Step 6: Final answer
    x = 4,386

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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.