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Finding the Fourth Proportional to 5,973.63, 8,245.89 and 3,983.46

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Solution

The fourth proportional to 5,973.63, 8,245.89 and 3,983.46 is: 5,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.63 : 8,245.89 = 3,983.46 : x
  2. Step 2: Convert to fraction form
    5,973.63/8,245.89 = 3,983.46/x
  3. Step 3: Cross multiply
    5,973.63x = 8,245.89 × 3,983.46
  4. Step 4: Simplify right side
    5,973.63x = 32,847,142.06
  5. Step 5: Solve for x
    x = 32,847,142.06/5,973.63
  6. Step 6: Final answer
    x = 5,498.69

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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.