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Finding the Fourth Proportional to 5,966.37, 8,237.03 and 3,983.49

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Solution

The fourth proportional to 5,966.37, 8,237.03 and 3,983.49 is: 5,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.37 : 8,237.03 = 3,983.49 : x
  2. Step 2: Convert to fraction form
    5,966.37/8,237.03 = 3,983.49/x
  3. Step 3: Cross multiply
    5,966.37x = 8,237.03 × 3,983.49
  4. Step 4: Simplify right side
    5,966.37x = 32,812,106.72
  5. Step 5: Solve for x
    x = 32,812,106.72/5,966.37
  6. Step 6: Final answer
    x = 5,499.51

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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.