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Finding the Fourth Proportional to 5,650.75, 7,798.04 and 3,292.44

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Solution

The fourth proportional to 5,650.75, 7,798.04 and 3,292.44 is: 4,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.75 : 7,798.04 = 3,292.44 : x
  2. Step 2: Convert to fraction form
    5,650.75/7,798.04 = 3,292.44/x
  3. Step 3: Cross multiply
    5,650.75x = 7,798.04 × 3,292.44
  4. Step 4: Simplify right side
    5,650.75x = 25,674,578.82
  5. Step 5: Solve for x
    x = 25,674,578.82/5,650.75
  6. Step 6: Final answer
    x = 4,543.57

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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.