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Finding the Fourth Proportional to 3,133.27, 4,323.89 and 1,716.95

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Solution

The fourth proportional to 3,133.27, 4,323.89 and 1,716.95 is: 2,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.27 : 4,323.89 = 1,716.95 : x
  2. Step 2: Convert to fraction form
    3,133.27/4,323.89 = 1,716.95/x
  3. Step 3: Cross multiply
    3,133.27x = 4,323.89 × 1,716.95
  4. Step 4: Simplify right side
    3,133.27x = 7,423,918.04
  5. Step 5: Solve for x
    x = 7,423,918.04/3,133.27
  6. Step 6: Final answer
    x = 2,369.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.