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Finding the Fourth Proportional to 4,821.72, 7,223.04 and 2,967.36

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Solution

The fourth proportional to 4,821.72, 7,223.04 and 2,967.36 is: 4,445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.72 : 7,223.04 = 2,967.36 : x
  2. Step 2: Convert to fraction form
    4,821.72/7,223.04 = 2,967.36/x
  3. Step 3: Cross multiply
    4,821.72x = 7,223.04 × 2,967.36
  4. Step 4: Simplify right side
    4,821.72x = 21,433,359.97
  5. Step 5: Solve for x
    x = 21,433,359.97/4,821.72
  6. Step 6: Final answer
    x = 4,445.17

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Why These Related Problems?

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