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Finding the Fourth Proportional to 5,338.09, 8,008.30 and 1,640.60

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Solution

The fourth proportional to 5,338.09, 8,008.30 and 1,640.60 is: 2,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.09 : 8,008.30 = 1,640.60 : x
  2. Step 2: Convert to fraction form
    5,338.09/8,008.30 = 1,640.60/x
  3. Step 3: Cross multiply
    5,338.09x = 8,008.30 × 1,640.60
  4. Step 4: Simplify right side
    5,338.09x = 13,138,416.98
  5. Step 5: Solve for x
    x = 13,138,416.98/5,338.09
  6. Step 6: Final answer
    x = 2,461.26

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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.