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Finding the Fourth Proportional to 3,825.99, 5,279.64 and 2,232.93

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Solution

The fourth proportional to 3,825.99, 5,279.64 and 2,232.93 is: 3,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.99 : 5,279.64 = 2,232.93 : x
  2. Step 2: Convert to fraction form
    3,825.99/5,279.64 = 2,232.93/x
  3. Step 3: Cross multiply
    3,825.99x = 5,279.64 × 2,232.93
  4. Step 4: Simplify right side
    3,825.99x = 11,789,066.55
  5. Step 5: Solve for x
    x = 11,789,066.55/3,825.99
  6. Step 6: Final answer
    x = 3,081.31

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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.