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Finding the Fourth Proportional to 3,714.43, 5,570.74 and 1,523.79

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Solution

The fourth proportional to 3,714.43, 5,570.74 and 1,523.79 is: 2,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.43 : 5,570.74 = 1,523.79 : x
  2. Step 2: Convert to fraction form
    3,714.43/5,570.74 = 1,523.79/x
  3. Step 3: Cross multiply
    3,714.43x = 5,570.74 × 1,523.79
  4. Step 4: Simplify right side
    3,714.43x = 8,488,637.90
  5. Step 5: Solve for x
    x = 8,488,637.90/3,714.43
  6. Step 6: Final answer
    x = 2,285.31

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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.