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Finding the Fourth Proportional to 6,002.00, 8,282.82 and 3,349.35

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Solution

The fourth proportional to 6,002.00, 8,282.82 and 3,349.35 is: 4,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.00 : 8,282.82 = 3,349.35 : x
  2. Step 2: Convert to fraction form
    6,002.00/8,282.82 = 3,349.35/x
  3. Step 3: Cross multiply
    6,002.00x = 8,282.82 × 3,349.35
  4. Step 4: Simplify right side
    6,002.00x = 27,742,005.01
  5. Step 5: Solve for x
    x = 27,742,005.01/6,002.00
  6. Step 6: Final answer
    x = 4,622.13

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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.