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Finding the Fourth Proportional to 4,195.64, 5,789.64 and 2,426.84

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Solution

The fourth proportional to 4,195.64, 5,789.64 and 2,426.84 is: 3,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.64 : 5,789.64 = 2,426.84 : x
  2. Step 2: Convert to fraction form
    4,195.64/5,789.64 = 2,426.84/x
  3. Step 3: Cross multiply
    4,195.64x = 5,789.64 × 2,426.84
  4. Step 4: Simplify right side
    4,195.64x = 14,050,529.94
  5. Step 5: Solve for x
    x = 14,050,529.94/4,195.64
  6. Step 6: Final answer
    x = 3,348.84

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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.