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Finding the Fourth Proportional to 4,474.72, 6,714.28 and 2,011.28

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Solution

The fourth proportional to 4,474.72, 6,714.28 and 2,011.28 is: 3,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.72 : 6,714.28 = 2,011.28 : x
  2. Step 2: Convert to fraction form
    4,474.72/6,714.28 = 2,011.28/x
  3. Step 3: Cross multiply
    4,474.72x = 6,714.28 × 2,011.28
  4. Step 4: Simplify right side
    4,474.72x = 13,504,297.08
  5. Step 5: Solve for x
    x = 13,504,297.08/4,474.72
  6. Step 6: Final answer
    x = 3,017.91

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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.