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Finding the Fourth Proportional to 5,223.24, 7,832.43 and 3,032.64

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Solution

The fourth proportional to 5,223.24, 7,832.43 and 3,032.64 is: 4,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.24 : 7,832.43 = 3,032.64 : x
  2. Step 2: Convert to fraction form
    5,223.24/7,832.43 = 3,032.64/x
  3. Step 3: Cross multiply
    5,223.24x = 7,832.43 × 3,032.64
  4. Step 4: Simplify right side
    5,223.24x = 23,752,940.52
  5. Step 5: Solve for x
    x = 23,752,940.52/5,223.24
  6. Step 6: Final answer
    x = 4,547.55

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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.