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Finding the Fourth Proportional to 3,812.59, 5,719.26 and 1,733.59

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Solution

The fourth proportional to 3,812.59, 5,719.26 and 1,733.59 is: 2,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.59 : 5,719.26 = 1,733.59 : x
  2. Step 2: Convert to fraction form
    3,812.59/5,719.26 = 1,733.59/x
  3. Step 3: Cross multiply
    3,812.59x = 5,719.26 × 1,733.59
  4. Step 4: Simplify right side
    3,812.59x = 9,914,851.94
  5. Step 5: Solve for x
    x = 9,914,851.94/3,812.59
  6. Step 6: Final answer
    x = 2,600.56

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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.