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Finding the Fourth Proportional to 3,713.43, 5,569.24 and 1,522.79

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Solution

The fourth proportional to 3,713.43, 5,569.24 and 1,522.79 is: 2,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.43 : 5,569.24 = 1,522.79 : x
  2. Step 2: Convert to fraction form
    3,713.43/5,569.24 = 1,522.79/x
  3. Step 3: Cross multiply
    3,713.43x = 5,569.24 × 1,522.79
  4. Step 4: Simplify right side
    3,713.43x = 8,480,782.98
  5. Step 5: Solve for x
    x = 8,480,782.98/3,713.43
  6. Step 6: Final answer
    x = 2,283.81

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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.