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Finding the Fourth Proportional to 3,500.96, 5,251.46 and 903.92

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Solution

The fourth proportional to 3,500.96, 5,251.46 and 903.92 is: 1,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.96 : 5,251.46 = 903.92 : x
  2. Step 2: Convert to fraction form
    3,500.96/5,251.46 = 903.92/x
  3. Step 3: Cross multiply
    3,500.96x = 5,251.46 × 903.92
  4. Step 4: Simplify right side
    3,500.96x = 4,746,899.72
  5. Step 5: Solve for x
    x = 4,746,899.72/3,500.96
  6. Step 6: Final answer
    x = 1,355.89

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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.