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Finding the Fourth Proportional to 6,002.64, 8,283.60 and 3,349.89

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Solution

The fourth proportional to 6,002.64, 8,283.60 and 3,349.89 is: 4,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.64 : 8,283.60 = 3,349.89 : x
  2. Step 2: Convert to fraction form
    6,002.64/8,283.60 = 3,349.89/x
  3. Step 3: Cross multiply
    6,002.64x = 8,283.60 × 3,349.89
  4. Step 4: Simplify right side
    6,002.64x = 27,749,148.80
  5. Step 5: Solve for x
    x = 27,749,148.80/6,002.64
  6. Step 6: Final answer
    x = 4,622.82

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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.