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Finding the Fourth Proportional to 4,641.87, 6,962.81 and 2,331.75

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Solution

The fourth proportional to 4,641.87, 6,962.81 and 2,331.75 is: 3,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.87 : 6,962.81 = 2,331.75 : x
  2. Step 2: Convert to fraction form
    4,641.87/6,962.81 = 2,331.75/x
  3. Step 3: Cross multiply
    4,641.87x = 6,962.81 × 2,331.75
  4. Step 4: Simplify right side
    4,641.87x = 16,235,520.56
  5. Step 5: Solve for x
    x = 16,235,520.56/4,641.87
  6. Step 6: Final answer
    x = 3,497.63

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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.