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Finding the Fourth Proportional to 6,014.82, 8,298.12 and 3,496.50

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Solution

The fourth proportional to 6,014.82, 8,298.12 and 3,496.50 is: 4,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.82 : 8,298.12 = 3,496.50 : x
  2. Step 2: Convert to fraction form
    6,014.82/8,298.12 = 3,496.50/x
  3. Step 3: Cross multiply
    6,014.82x = 8,298.12 × 3,496.50
  4. Step 4: Simplify right side
    6,014.82x = 29,014,376.58
  5. Step 5: Solve for x
    x = 29,014,376.58/6,014.82
  6. Step 6: Final answer
    x = 4,823.81

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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.