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Finding the Fourth Proportional to 6,319.41, 9,480.22 and 2,158.44

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Solution

The fourth proportional to 6,319.41, 9,480.22 and 2,158.44 is: 3,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.41 : 9,480.22 = 2,158.44 : x
  2. Step 2: Convert to fraction form
    6,319.41/9,480.22 = 2,158.44/x
  3. Step 3: Cross multiply
    6,319.41x = 9,480.22 × 2,158.44
  4. Step 4: Simplify right side
    6,319.41x = 20,462,475.03
  5. Step 5: Solve for x
    x = 20,462,475.03/6,319.41
  6. Step 6: Final answer
    x = 3,238.04

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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.