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Finding the Fourth Proportional to 3,286.81, 4,915.24 and 2,454.45

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Solution

The fourth proportional to 3,286.81, 4,915.24 and 2,454.45 is: 3,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.81 : 4,915.24 = 2,454.45 : x
  2. Step 2: Convert to fraction form
    3,286.81/4,915.24 = 2,454.45/x
  3. Step 3: Cross multiply
    3,286.81x = 4,915.24 × 2,454.45
  4. Step 4: Simplify right side
    3,286.81x = 12,064,198.55
  5. Step 5: Solve for x
    x = 12,064,198.55/3,286.81
  6. Step 6: Final answer
    x = 3,670.49

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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.