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Finding the Fourth Proportional to 5,222.75, 7,837.37 and 3,032.51

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Solution

The fourth proportional to 5,222.75, 7,837.37 and 3,032.51 is: 4,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.75 : 7,837.37 = 3,032.51 : x
  2. Step 2: Convert to fraction form
    5,222.75/7,837.37 = 3,032.51/x
  3. Step 3: Cross multiply
    5,222.75x = 7,837.37 × 3,032.51
  4. Step 4: Simplify right side
    5,222.75x = 23,766,887.74
  5. Step 5: Solve for x
    x = 23,766,887.74/5,222.75
  6. Step 6: Final answer
    x = 4,550.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.