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Finding the Fourth Proportional to 4,661.50, 6,986.55 and 2,193.04

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Solution

The fourth proportional to 4,661.50, 6,986.55 and 2,193.04 is: 3,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.50 : 6,986.55 = 2,193.04 : x
  2. Step 2: Convert to fraction form
    4,661.50/6,986.55 = 2,193.04/x
  3. Step 3: Cross multiply
    4,661.50x = 6,986.55 × 2,193.04
  4. Step 4: Simplify right side
    4,661.50x = 15,321,783.61
  5. Step 5: Solve for x
    x = 15,321,783.61/4,661.50
  6. Step 6: Final answer
    x = 3,286.88

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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.