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Finding the Fourth Proportional to 3,792.99, 5,234.67 and 2,301.29

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Solution

The fourth proportional to 3,792.99, 5,234.67 and 2,301.29 is: 3,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.99 : 5,234.67 = 2,301.29 : x
  2. Step 2: Convert to fraction form
    3,792.99/5,234.67 = 2,301.29/x
  3. Step 3: Cross multiply
    3,792.99x = 5,234.67 × 2,301.29
  4. Step 4: Simplify right side
    3,792.99x = 12,046,467.55
  5. Step 5: Solve for x
    x = 12,046,467.55/3,792.99
  6. Step 6: Final answer
    x = 3,175.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.