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Finding the Fourth Proportional to 4,782.24, 7,165.67 and 2,592

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Solution

The fourth proportional to 4,782.24, 7,165.67 and 2,592 is: 3,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.24 : 7,165.67 = 2,592 : x
  2. Step 2: Convert to fraction form
    4,782.24/7,165.67 = 2,592/x
  3. Step 3: Cross multiply
    4,782.24x = 7,165.67 × 2,592
  4. Step 4: Simplify right side
    4,782.24x = 18,573,403.68
  5. Step 5: Solve for x
    x = 18,573,403.68/4,782.24
  6. Step 6: Final answer
    x = 3,883.83

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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.