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Finding the Fourth Proportional to 3,812.49, 5,719.95 and 1,703.79

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Solution

The fourth proportional to 3,812.49, 5,719.95 and 1,703.79 is: 2,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.49 : 5,719.95 = 1,703.79 : x
  2. Step 2: Convert to fraction form
    3,812.49/5,719.95 = 1,703.79/x
  3. Step 3: Cross multiply
    3,812.49x = 5,719.95 × 1,703.79
  4. Step 4: Simplify right side
    3,812.49x = 9,745,593.61
  5. Step 5: Solve for x
    x = 9,745,593.61/3,812.49
  6. Step 6: Final answer
    x = 2,556.23

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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.