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Finding the Fourth Proportional to 5,630.41, 8,451.06 and 4,165.12

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Solution

The fourth proportional to 5,630.41, 8,451.06 and 4,165.12 is: 6,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.41 : 8,451.06 = 4,165.12 : x
  2. Step 2: Convert to fraction form
    5,630.41/8,451.06 = 4,165.12/x
  3. Step 3: Cross multiply
    5,630.41x = 8,451.06 × 4,165.12
  4. Step 4: Simplify right side
    5,630.41x = 35,199,679.03
  5. Step 5: Solve for x
    x = 35,199,679.03/5,630.41
  6. Step 6: Final answer
    x = 6,251.71

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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.