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Finding the Fourth Proportional to 5,443.46, 8,165.92 and 1,744.46

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Solution

The fourth proportional to 5,443.46, 8,165.92 and 1,744.46 is: 2,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.46 : 8,165.92 = 1,744.46 : x
  2. Step 2: Convert to fraction form
    5,443.46/8,165.92 = 1,744.46/x
  3. Step 3: Cross multiply
    5,443.46x = 8,165.92 × 1,744.46
  4. Step 4: Simplify right side
    5,443.46x = 14,245,136.86
  5. Step 5: Solve for x
    x = 14,245,136.86/5,443.46
  6. Step 6: Final answer
    x = 2,616.93

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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.