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Finding the Fourth Proportional to 5,223.45, 7,832.70 and 3,032.82

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Solution

The fourth proportional to 5,223.45, 7,832.70 and 3,032.82 is: 4,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.45 : 7,832.70 = 3,032.82 : x
  2. Step 2: Convert to fraction form
    5,223.45/7,832.70 = 3,032.82/x
  3. Step 3: Cross multiply
    5,223.45x = 7,832.70 × 3,032.82
  4. Step 4: Simplify right side
    5,223.45x = 23,755,169.21
  5. Step 5: Solve for x
    x = 23,755,169.21/5,223.45
  6. Step 6: Final answer
    x = 4,547.79

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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.