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Finding the Fourth Proportional to 5,291.97, 7,939.49 and 2,369.59

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Solution

The fourth proportional to 5,291.97, 7,939.49 and 2,369.59 is: 3,555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.97 : 7,939.49 = 2,369.59 : x
  2. Step 2: Convert to fraction form
    5,291.97/7,939.49 = 2,369.59/x
  3. Step 3: Cross multiply
    5,291.97x = 7,939.49 × 2,369.59
  4. Step 4: Simplify right side
    5,291.97x = 18,813,336.11
  5. Step 5: Solve for x
    x = 18,813,336.11/5,291.97
  6. Step 6: Final answer
    x = 3,555.07

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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.