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Finding the Fourth Proportional to 6,102.24, 8,420.76 and 3,449.76

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Solution

The fourth proportional to 6,102.24, 8,420.76 and 3,449.76 is: 4,760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.24 : 8,420.76 = 3,449.76 : x
  2. Step 2: Convert to fraction form
    6,102.24/8,420.76 = 3,449.76/x
  3. Step 3: Cross multiply
    6,102.24x = 8,420.76 × 3,449.76
  4. Step 4: Simplify right side
    6,102.24x = 29,049,601.02
  5. Step 5: Solve for x
    x = 29,049,601.02/6,102.24
  6. Step 6: Final answer
    x = 4,760.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.