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Finding the Fourth Proportional to 5,692.65, 8,540.00 and 2,574.12

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Solution

The fourth proportional to 5,692.65, 8,540.00 and 2,574.12 is: 3,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.65 : 8,540.00 = 2,574.12 : x
  2. Step 2: Convert to fraction form
    5,692.65/8,540.00 = 2,574.12/x
  3. Step 3: Cross multiply
    5,692.65x = 8,540.00 × 2,574.12
  4. Step 4: Simplify right side
    5,692.65x = 21,982,989.59
  5. Step 5: Solve for x
    x = 21,982,989.59/5,692.65
  6. Step 6: Final answer
    x = 3,861.65

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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.