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Finding the Fourth Proportional to 3,809.50, 5,714.51 and 1,469.53

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Solution

The fourth proportional to 3,809.50, 5,714.51 and 1,469.53 is: 2,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.50 : 5,714.51 = 1,469.53 : x
  2. Step 2: Convert to fraction form
    3,809.50/5,714.51 = 1,469.53/x
  3. Step 3: Cross multiply
    3,809.50x = 5,714.51 × 1,469.53
  4. Step 4: Simplify right side
    3,809.50x = 8,397,632.35
  5. Step 5: Solve for x
    x = 8,397,632.35/3,809.50
  6. Step 6: Final answer
    x = 2,204.39

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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.