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Finding the Fourth Proportional to 6,002.82, 8,284.01 and 3,485.14

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Solution

The fourth proportional to 6,002.82, 8,284.01 and 3,485.14 is: 4,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.82 : 8,284.01 = 3,485.14 : x
  2. Step 2: Convert to fraction form
    6,002.82/8,284.01 = 3,485.14/x
  3. Step 3: Cross multiply
    6,002.82x = 8,284.01 × 3,485.14
  4. Step 4: Simplify right side
    6,002.82x = 28,870,896.48
  5. Step 5: Solve for x
    x = 28,870,896.48/6,002.82
  6. Step 6: Final answer
    x = 4,809.56

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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.