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Finding the Fourth Proportional to 3,772.05, 5,661.67 and 2,314.05

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Solution

The fourth proportional to 3,772.05, 5,661.67 and 2,314.05 is: 3,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.05 : 5,661.67 = 2,314.05 : x
  2. Step 2: Convert to fraction form
    3,772.05/5,661.67 = 2,314.05/x
  3. Step 3: Cross multiply
    3,772.05x = 5,661.67 × 2,314.05
  4. Step 4: Simplify right side
    3,772.05x = 13,101,359.16
  5. Step 5: Solve for x
    x = 13,101,359.16/3,772.05
  6. Step 6: Final answer
    x = 3,473.28

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Why These Related Problems?

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