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Finding the Fourth Proportional to 3,481.47, 5,215.46 and 3,206.07

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Solution

The fourth proportional to 3,481.47, 5,215.46 and 3,206.07 is: 4,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.47 : 5,215.46 = 3,206.07 : x
  2. Step 2: Convert to fraction form
    3,481.47/5,215.46 = 3,206.07/x
  3. Step 3: Cross multiply
    3,481.47x = 5,215.46 × 3,206.07
  4. Step 4: Simplify right side
    3,481.47x = 16,721,113.81
  5. Step 5: Solve for x
    x = 16,721,113.81/3,481.47
  6. Step 6: Final answer
    x = 4,802.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.