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Finding the Fourth Proportional to 6,102.30, 8,420.84 and 3,449.56

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Solution

The fourth proportional to 6,102.30, 8,420.84 and 3,449.56 is: 4,760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.30 : 8,420.84 = 3,449.56 : x
  2. Step 2: Convert to fraction form
    6,102.30/8,420.84 = 3,449.56/x
  3. Step 3: Cross multiply
    6,102.30x = 8,420.84 × 3,449.56
  4. Step 4: Simplify right side
    6,102.30x = 29,048,192.83
  5. Step 5: Solve for x
    x = 29,048,192.83/6,102.30
  6. Step 6: Final answer
    x = 4,760.20

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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.