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Finding the Fourth Proportional to 5,441.40, 8,170.20 and 4,210.20

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Solution

The fourth proportional to 5,441.40, 8,170.20 and 4,210.20 is: 6,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.40 : 8,170.20 = 4,210.20 : x
  2. Step 2: Convert to fraction form
    5,441.40/8,170.20 = 4,210.20/x
  3. Step 3: Cross multiply
    5,441.40x = 8,170.20 × 4,210.20
  4. Step 4: Simplify right side
    5,441.40x = 34,398,176.04
  5. Step 5: Solve for x
    x = 34,398,176.04/5,441.40
  6. Step 6: Final answer
    x = 6,321.57

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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.