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Finding the Fourth Proportional to 3,714.76, 5,125.46 and 2,223.16

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Solution

The fourth proportional to 3,714.76, 5,125.46 and 2,223.16 is: 3,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.76 : 5,125.46 = 2,223.16 : x
  2. Step 2: Convert to fraction form
    3,714.76/5,125.46 = 2,223.16/x
  3. Step 3: Cross multiply
    3,714.76x = 5,125.46 × 2,223.16
  4. Step 4: Simplify right side
    3,714.76x = 11,394,717.65
  5. Step 5: Solve for x
    x = 11,394,717.65/3,714.76
  6. Step 6: Final answer
    x = 3,067.42

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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.