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Finding the Fourth Proportional to 5,650.58, 7,798.26 and 3,132.94

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Solution

The fourth proportional to 5,650.58, 7,798.26 and 3,132.94 is: 4,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.58 : 7,798.26 = 3,132.94 : x
  2. Step 2: Convert to fraction form
    5,650.58/7,798.26 = 3,132.94/x
  3. Step 3: Cross multiply
    5,650.58x = 7,798.26 × 3,132.94
  4. Step 4: Simplify right side
    5,650.58x = 24,431,480.68
  5. Step 5: Solve for x
    x = 24,431,480.68/5,650.58
  6. Step 6: Final answer
    x = 4,323.71

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