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Finding the Fourth Proportional to 5,749.74, 7,932.65 and 3,231.51

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Solution

The fourth proportional to 5,749.74, 7,932.65 and 3,231.51 is: 4,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.74 : 7,932.65 = 3,231.51 : x
  2. Step 2: Convert to fraction form
    5,749.74/7,932.65 = 3,231.51/x
  3. Step 3: Cross multiply
    5,749.74x = 7,932.65 × 3,231.51
  4. Step 4: Simplify right side
    5,749.74x = 25,634,421.64
  5. Step 5: Solve for x
    x = 25,634,421.64/5,749.74
  6. Step 6: Final answer
    x = 4,458.36

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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.