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Finding the Fourth Proportional to 3,716.79, 5,572.74 and 1,523.31

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Solution

The fourth proportional to 3,716.79, 5,572.74 and 1,523.31 is: 2,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.79 : 5,572.74 = 1,523.31 : x
  2. Step 2: Convert to fraction form
    3,716.79/5,572.74 = 1,523.31/x
  3. Step 3: Cross multiply
    3,716.79x = 5,572.74 × 1,523.31
  4. Step 4: Simplify right side
    3,716.79x = 8,489,010.57
  5. Step 5: Solve for x
    x = 8,489,010.57/3,716.79
  6. Step 6: Final answer
    x = 2,283.96

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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.