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Finding the Fourth Proportional to 3,745.62, 5,580.68 and 3,692.16

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Solution

The fourth proportional to 3,745.62, 5,580.68 and 3,692.16 is: 5,501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.62 : 5,580.68 = 3,692.16 : x
  2. Step 2: Convert to fraction form
    3,745.62/5,580.68 = 3,692.16/x
  3. Step 3: Cross multiply
    3,745.62x = 5,580.68 × 3,692.16
  4. Step 4: Simplify right side
    3,745.62x = 20,604,745.01
  5. Step 5: Solve for x
    x = 20,604,745.01/3,745.62
  6. Step 6: Final answer
    x = 5,501.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.