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Finding the Fourth Proportional to 3,692.36, 5,543.40 and 2,597.24

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Solution

The fourth proportional to 3,692.36, 5,543.40 and 2,597.24 is: 3,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.36 : 5,543.40 = 2,597.24 : x
  2. Step 2: Convert to fraction form
    3,692.36/5,543.40 = 2,597.24/x
  3. Step 3: Cross multiply
    3,692.36x = 5,543.40 × 2,597.24
  4. Step 4: Simplify right side
    3,692.36x = 14,397,540.22
  5. Step 5: Solve for x
    x = 14,397,540.22/3,692.36
  6. Step 6: Final answer
    x = 3,899.28

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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.