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Finding the Fourth Proportional to 5,575.97, 7,684.83 and 4,578.05

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Solution

The fourth proportional to 5,575.97, 7,684.83 and 4,578.05 is: 6,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.97 : 7,684.83 = 4,578.05 : x
  2. Step 2: Convert to fraction form
    5,575.97/7,684.83 = 4,578.05/x
  3. Step 3: Cross multiply
    5,575.97x = 7,684.83 × 4,578.05
  4. Step 4: Simplify right side
    5,575.97x = 35,181,535.98
  5. Step 5: Solve for x
    x = 35,181,535.98/5,575.97
  6. Step 6: Final answer
    x = 6,309.49

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1.5x scale

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.