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Finding the Fourth Proportional to 5,775.24, 7,969.82 and 3,122.66

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Solution

The fourth proportional to 5,775.24, 7,969.82 and 3,122.66 is: 4,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.24 : 7,969.82 = 3,122.66 : x
  2. Step 2: Convert to fraction form
    5,775.24/7,969.82 = 3,122.66/x
  3. Step 3: Cross multiply
    5,775.24x = 7,969.82 × 3,122.66
  4. Step 4: Simplify right side
    5,775.24x = 24,887,038.12
  5. Step 5: Solve for x
    x = 24,887,038.12/5,775.24
  6. Step 6: Final answer
    x = 4,309.26

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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.