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Finding the Fourth Proportional to 4,238.99, 5,851.64 and 3,973.31

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Solution

The fourth proportional to 4,238.99, 5,851.64 and 3,973.31 is: 5,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.99 : 5,851.64 = 3,973.31 : x
  2. Step 2: Convert to fraction form
    4,238.99/5,851.64 = 3,973.31/x
  3. Step 3: Cross multiply
    4,238.99x = 5,851.64 × 3,973.31
  4. Step 4: Simplify right side
    4,238.99x = 23,250,359.86
  5. Step 5: Solve for x
    x = 23,250,359.86/4,238.99
  6. Step 6: Final answer
    x = 5,484.88

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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.