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Finding the Fourth Proportional to 5,475.40, 8,213.10 and 3,920.20

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Solution

The fourth proportional to 5,475.40, 8,213.10 and 3,920.20 is: 5,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.40 : 8,213.10 = 3,920.20 : x
  2. Step 2: Convert to fraction form
    5,475.40/8,213.10 = 3,920.20/x
  3. Step 3: Cross multiply
    5,475.40x = 8,213.10 × 3,920.20
  4. Step 4: Simplify right side
    5,475.40x = 32,196,994.62
  5. Step 5: Solve for x
    x = 32,196,994.62/5,475.40
  6. Step 6: Final answer
    x = 5,880.30

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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.