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Finding the Fourth Proportional to 4,792.36, 7,192.74 and 2,329

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Solution

The fourth proportional to 4,792.36, 7,192.74 and 2,329 is: 3,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.36 : 7,192.74 = 2,329 : x
  2. Step 2: Convert to fraction form
    4,792.36/7,192.74 = 2,329/x
  3. Step 3: Cross multiply
    4,792.36x = 7,192.74 × 2,329
  4. Step 4: Simplify right side
    4,792.36x = 16,751,891.46
  5. Step 5: Solve for x
    x = 16,751,891.46/4,792.36
  6. Step 6: Final answer
    x = 3,495.54

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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.