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Finding the Fourth Proportional to 6,102.29, 8,420.25 and 3,449.64

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Solution

The fourth proportional to 6,102.29, 8,420.25 and 3,449.64 is: 4,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.29 : 8,420.25 = 3,449.64 : x
  2. Step 2: Convert to fraction form
    6,102.29/8,420.25 = 3,449.64/x
  3. Step 3: Cross multiply
    6,102.29x = 8,420.25 × 3,449.64
  4. Step 4: Simplify right side
    6,102.29x = 29,046,828.36
  5. Step 5: Solve for x
    x = 29,046,828.36/6,102.29
  6. Step 6: Final answer
    x = 4,759.99

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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.