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Finding the Fourth Proportional to 5,633.39, 8,447.97 and 1,934.57

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Solution

The fourth proportional to 5,633.39, 8,447.97 and 1,934.57 is: 2,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.39 : 8,447.97 = 1,934.57 : x
  2. Step 2: Convert to fraction form
    5,633.39/8,447.97 = 1,934.57/x
  3. Step 3: Cross multiply
    5,633.39x = 8,447.97 × 1,934.57
  4. Step 4: Simplify right side
    5,633.39x = 16,343,189.32
  5. Step 5: Solve for x
    x = 16,343,189.32/5,633.39
  6. Step 6: Final answer
    x = 2,901.13

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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.