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Finding the Fourth Proportional to 3,210.74, 4,813.78 and 2,168.16

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Solution

The fourth proportional to 3,210.74, 4,813.78 and 2,168.16 is: 3,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.74 : 4,813.78 = 2,168.16 : x
  2. Step 2: Convert to fraction form
    3,210.74/4,813.78 = 2,168.16/x
  3. Step 3: Cross multiply
    3,210.74x = 4,813.78 × 2,168.16
  4. Step 4: Simplify right side
    3,210.74x = 10,437,039.82
  5. Step 5: Solve for x
    x = 10,437,039.82/3,210.74
  6. Step 6: Final answer
    x = 3,250.66

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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.