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Finding the Fourth Proportional to 3,376.65, 4,661.92 and 2,316.20

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Solution

The fourth proportional to 3,376.65, 4,661.92 and 2,316.20 is: 3,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.65 : 4,661.92 = 2,316.20 : x
  2. Step 2: Convert to fraction form
    3,376.65/4,661.92 = 2,316.20/x
  3. Step 3: Cross multiply
    3,376.65x = 4,661.92 × 2,316.20
  4. Step 4: Simplify right side
    3,376.65x = 10,797,918.69
  5. Step 5: Solve for x
    x = 10,797,918.69/3,376.65
  6. Step 6: Final answer
    x = 3,197.82

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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.