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Finding the Fourth Proportional to 5,627.76, 8,441.64 and 3,692.20

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Solution

The fourth proportional to 5,627.76, 8,441.64 and 3,692.20 is: 5,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.76 : 8,441.64 = 3,692.20 : x
  2. Step 2: Convert to fraction form
    5,627.76/8,441.64 = 3,692.20/x
  3. Step 3: Cross multiply
    5,627.76x = 8,441.64 × 3,692.20
  4. Step 4: Simplify right side
    5,627.76x = 31,168,223.21
  5. Step 5: Solve for x
    x = 31,168,223.21/5,627.76
  6. Step 6: Final answer
    x = 5,538.30

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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.