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Finding the Fourth Proportional to 3,724.42, 5,586.63 and 951.09

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Solution

The fourth proportional to 3,724.42, 5,586.63 and 951.09 is: 1,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.42 : 5,586.63 = 951.09 : x
  2. Step 2: Convert to fraction form
    3,724.42/5,586.63 = 951.09/x
  3. Step 3: Cross multiply
    3,724.42x = 5,586.63 × 951.09
  4. Step 4: Simplify right side
    3,724.42x = 5,313,408.21
  5. Step 5: Solve for x
    x = 5,313,408.21/3,724.42
  6. Step 6: Final answer
    x = 1,426.64

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1.5x scale

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.