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Finding the Fourth Proportional to 3,973.32, 5,485.14 and 3,029.27

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Solution

The fourth proportional to 3,973.32, 5,485.14 and 3,029.27 is: 4,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.32 : 5,485.14 = 3,029.27 : x
  2. Step 2: Convert to fraction form
    3,973.32/5,485.14 = 3,029.27/x
  3. Step 3: Cross multiply
    3,973.32x = 5,485.14 × 3,029.27
  4. Step 4: Simplify right side
    3,973.32x = 16,615,942.62
  5. Step 5: Solve for x
    x = 16,615,942.62/3,973.32
  6. Step 6: Final answer
    x = 4,181.88

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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.