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Finding the Fourth Proportional to 5,692.38, 8,540.01 and 1,588.38

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Solution

The fourth proportional to 5,692.38, 8,540.01 and 1,588.38 is: 2,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.38 : 8,540.01 = 1,588.38 : x
  2. Step 2: Convert to fraction form
    5,692.38/8,540.01 = 1,588.38/x
  3. Step 3: Cross multiply
    5,692.38x = 8,540.01 × 1,588.38
  4. Step 4: Simplify right side
    5,692.38x = 13,564,781.08
  5. Step 5: Solve for x
    x = 13,564,781.08/5,692.38
  6. Step 6: Final answer
    x = 2,382.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.