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Finding the Fourth Proportional to 3,471.29, 5,206.92 and 874.22

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Solution

The fourth proportional to 3,471.29, 5,206.92 and 874.22 is: 1,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.29 : 5,206.92 = 874.22 : x
  2. Step 2: Convert to fraction form
    3,471.29/5,206.92 = 874.22/x
  3. Step 3: Cross multiply
    3,471.29x = 5,206.92 × 874.22
  4. Step 4: Simplify right side
    3,471.29x = 4,551,967.57
  5. Step 5: Solve for x
    x = 4,551,967.57/3,471.29
  6. Step 6: Final answer
    x = 1,311.32

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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.