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Finding the Fourth Proportional to 5,462.09, 7,540.26 and 3,696.56

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Solution

The fourth proportional to 5,462.09, 7,540.26 and 3,696.56 is: 5,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.09 : 7,540.26 = 3,696.56 : x
  2. Step 2: Convert to fraction form
    5,462.09/7,540.26 = 3,696.56/x
  3. Step 3: Cross multiply
    5,462.09x = 7,540.26 × 3,696.56
  4. Step 4: Simplify right side
    5,462.09x = 27,873,023.51
  5. Step 5: Solve for x
    x = 27,873,023.51/5,462.09
  6. Step 6: Final answer
    x = 5,103.00

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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.