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Finding the Fourth Proportional to 3,477.72, 5,213.66 and 1,627.86

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Solution

The fourth proportional to 3,477.72, 5,213.66 and 1,627.86 is: 2,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.72 : 5,213.66 = 1,627.86 : x
  2. Step 2: Convert to fraction form
    3,477.72/5,213.66 = 1,627.86/x
  3. Step 3: Cross multiply
    3,477.72x = 5,213.66 × 1,627.86
  4. Step 4: Simplify right side
    3,477.72x = 8,487,108.57
  5. Step 5: Solve for x
    x = 8,487,108.57/3,477.72
  6. Step 6: Final answer
    x = 2,440.42

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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.