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Finding the Fourth Proportional to 4,229.68, 5,836.50 and 2,461.64

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Solution

The fourth proportional to 4,229.68, 5,836.50 and 2,461.64 is: 3,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.68 : 5,836.50 = 2,461.64 : x
  2. Step 2: Convert to fraction form
    4,229.68/5,836.50 = 2,461.64/x
  3. Step 3: Cross multiply
    4,229.68x = 5,836.50 × 2,461.64
  4. Step 4: Simplify right side
    4,229.68x = 14,367,361.86
  5. Step 5: Solve for x
    x = 14,367,361.86/4,229.68
  6. Step 6: Final answer
    x = 3,396.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.