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Finding the Fourth Proportional to 5,222.97, 7,832.00 and 3,032.33

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Solution

The fourth proportional to 5,222.97, 7,832.00 and 3,032.33 is: 4,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.97 : 7,832.00 = 3,032.33 : x
  2. Step 2: Convert to fraction form
    5,222.97/7,832.00 = 3,032.33/x
  3. Step 3: Cross multiply
    5,222.97x = 7,832.00 × 3,032.33
  4. Step 4: Simplify right side
    5,222.97x = 23,749,176.98
  5. Step 5: Solve for x
    x = 23,749,176.98/5,222.97
  6. Step 6: Final answer
    x = 4,547.06

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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.