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Finding the Fourth Proportional to 5,706.72, 7,874.16 and 3,222.24

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Solution

The fourth proportional to 5,706.72, 7,874.16 and 3,222.24 is: 4,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.72 : 7,874.16 = 3,222.24 : x
  2. Step 2: Convert to fraction form
    5,706.72/7,874.16 = 3,222.24/x
  3. Step 3: Cross multiply
    5,706.72x = 7,874.16 × 3,222.24
  4. Step 4: Simplify right side
    5,706.72x = 25,372,433.32
  5. Step 5: Solve for x
    x = 25,372,433.32/5,706.72
  6. Step 6: Final answer
    x = 4,446.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.