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Finding the Fourth Proportional to 6,001.72, 8,282.78 and 3,349.64

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Solution

The fourth proportional to 6,001.72, 8,282.78 and 3,349.64 is: 4,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.72 : 8,282.78 = 3,349.64 : x
  2. Step 2: Convert to fraction form
    6,001.72/8,282.78 = 3,349.64/x
  3. Step 3: Cross multiply
    6,001.72x = 8,282.78 × 3,349.64
  4. Step 4: Simplify right side
    6,001.72x = 27,744,339.57
  5. Step 5: Solve for x
    x = 27,744,339.57/6,001.72
  6. Step 6: Final answer
    x = 4,622.74

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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.