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Finding the Fourth Proportional to 5,669.74, 8,503.26 and 2,382.90

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Solution

The fourth proportional to 5,669.74, 8,503.26 and 2,382.90 is: 3,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.74 : 8,503.26 = 2,382.90 : x
  2. Step 2: Convert to fraction form
    5,669.74/8,503.26 = 2,382.90/x
  3. Step 3: Cross multiply
    5,669.74x = 8,503.26 × 2,382.90
  4. Step 4: Simplify right side
    5,669.74x = 20,262,418.25
  5. Step 5: Solve for x
    x = 20,262,418.25/5,669.74
  6. Step 6: Final answer
    x = 3,573.78

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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.