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Finding the Fourth Proportional to 4,341.67, 6,481.07 and 3,816.21

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Solution

The fourth proportional to 4,341.67, 6,481.07 and 3,816.21 is: 5,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.67 : 6,481.07 = 3,816.21 : x
  2. Step 2: Convert to fraction form
    4,341.67/6,481.07 = 3,816.21/x
  3. Step 3: Cross multiply
    4,341.67x = 6,481.07 × 3,816.21
  4. Step 4: Simplify right side
    4,341.67x = 24,733,124.14
  5. Step 5: Solve for x
    x = 24,733,124.14/4,341.67
  6. Step 6: Final answer
    x = 5,696.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.