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Finding the Fourth Proportional to 6,001.68, 8,282.24 and 3,349.40

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Solution

The fourth proportional to 6,001.68, 8,282.24 and 3,349.40 is: 4,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.68 : 8,282.24 = 3,349.40 : x
  2. Step 2: Convert to fraction form
    6,001.68/8,282.24 = 3,349.40/x
  3. Step 3: Cross multiply
    6,001.68x = 8,282.24 × 3,349.40
  4. Step 4: Simplify right side
    6,001.68x = 27,740,534.66
  5. Step 5: Solve for x
    x = 27,740,534.66/6,001.68
  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.