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Finding the Fourth Proportional to 5,338.06, 8,004.30 and 1,639.78

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Solution

The fourth proportional to 5,338.06, 8,004.30 and 1,639.78 is: 2,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.06 : 8,004.30 = 1,639.78 : x
  2. Step 2: Convert to fraction form
    5,338.06/8,004.30 = 1,639.78/x
  3. Step 3: Cross multiply
    5,338.06x = 8,004.30 × 1,639.78
  4. Step 4: Simplify right side
    5,338.06x = 13,125,291.05
  5. Step 5: Solve for x
    x = 13,125,291.05/5,338.06
  6. Step 6: Final answer
    x = 2,458.81

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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.