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Finding the Fourth Proportional to 5,849.64, 8,072.37 and 3,197.07

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Solution

The fourth proportional to 5,849.64, 8,072.37 and 3,197.07 is: 4,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.64 : 8,072.37 = 3,197.07 : x
  2. Step 2: Convert to fraction form
    5,849.64/8,072.37 = 3,197.07/x
  3. Step 3: Cross multiply
    5,849.64x = 8,072.37 × 3,197.07
  4. Step 4: Simplify right side
    5,849.64x = 25,807,931.96
  5. Step 5: Solve for x
    x = 25,807,931.96/5,849.64
  6. Step 6: Final answer
    x = 4,411.88

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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.