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Finding the Fourth Proportional to 3,716.61, 5,574.91 and 943.49

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Solution

The fourth proportional to 3,716.61, 5,574.91 and 943.49 is: 1,415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.61 : 5,574.91 = 943.49 : x
  2. Step 2: Convert to fraction form
    3,716.61/5,574.91 = 943.49/x
  3. Step 3: Cross multiply
    3,716.61x = 5,574.91 × 943.49
  4. Step 4: Simplify right side
    3,716.61x = 5,259,843.96
  5. Step 5: Solve for x
    x = 5,259,843.96/3,716.61
  6. Step 6: Final answer
    x = 1,415.23

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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.