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Finding the Fourth Proportional to 5,349.81, 8,025.84 and 1,651.97

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Solution

The fourth proportional to 5,349.81, 8,025.84 and 1,651.97 is: 2,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.81 : 8,025.84 = 1,651.97 : x
  2. Step 2: Convert to fraction form
    5,349.81/8,025.84 = 1,651.97/x
  3. Step 3: Cross multiply
    5,349.81x = 8,025.84 × 1,651.97
  4. Step 4: Simplify right side
    5,349.81x = 13,258,406.78
  5. Step 5: Solve for x
    x = 13,258,406.78/5,349.81
  6. Step 6: Final answer
    x = 2,478.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.