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Finding the Fourth Proportional to 4,225.72, 6,334.12 and 2,147.28

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Solution

The fourth proportional to 4,225.72, 6,334.12 and 2,147.28 is: 3,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.72 : 6,334.12 = 2,147.28 : x
  2. Step 2: Convert to fraction form
    4,225.72/6,334.12 = 2,147.28/x
  3. Step 3: Cross multiply
    4,225.72x = 6,334.12 × 2,147.28
  4. Step 4: Simplify right side
    4,225.72x = 13,601,129.19
  5. Step 5: Solve for x
    x = 13,601,129.19/4,225.72
  6. Step 6: Final answer
    x = 3,218.65

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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.