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Finding the Fourth Proportional to 6,014.34, 8,299.56 and 3,496.32

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Solution

The fourth proportional to 6,014.34, 8,299.56 and 3,496.32 is: 4,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.34 : 8,299.56 = 3,496.32 : x
  2. Step 2: Convert to fraction form
    6,014.34/8,299.56 = 3,496.32/x
  3. Step 3: Cross multiply
    6,014.34x = 8,299.56 × 3,496.32
  4. Step 4: Simplify right side
    6,014.34x = 29,017,917.62
  5. Step 5: Solve for x
    x = 29,017,917.62/6,014.34
  6. Step 6: Final answer
    x = 4,824.79

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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.