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Finding the Fourth Proportional to 6,002.17, 8,283.02 and 3,349.69

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Solution

The fourth proportional to 6,002.17, 8,283.02 and 3,349.69 is: 4,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.17 : 8,283.02 = 3,349.69 : x
  2. Step 2: Convert to fraction form
    6,002.17/8,283.02 = 3,349.69/x
  3. Step 3: Cross multiply
    6,002.17x = 8,283.02 × 3,349.69
  4. Step 4: Simplify right side
    6,002.17x = 27,745,511.81
  5. Step 5: Solve for x
    x = 27,745,511.81/6,002.17
  6. Step 6: Final answer
    x = 4,622.58

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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.