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Finding the Fourth Proportional to 3,502.76, 5,253.78 and 1,162.68

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Solution

The fourth proportional to 3,502.76, 5,253.78 and 1,162.68 is: 1,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.76 : 5,253.78 = 1,162.68 : x
  2. Step 2: Convert to fraction form
    3,502.76/5,253.78 = 1,162.68/x
  3. Step 3: Cross multiply
    3,502.76x = 5,253.78 × 1,162.68
  4. Step 4: Simplify right side
    3,502.76x = 6,108,464.93
  5. Step 5: Solve for x
    x = 6,108,464.93/3,502.76
  6. Step 6: Final answer
    x = 1,743.90

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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.