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Finding the Fourth Proportional to 5,393.44, 8,090.16 and 1,645.26

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Solution

The fourth proportional to 5,393.44, 8,090.16 and 1,645.26 is: 2,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.44 : 8,090.16 = 1,645.26 : x
  2. Step 2: Convert to fraction form
    5,393.44/8,090.16 = 1,645.26/x
  3. Step 3: Cross multiply
    5,393.44x = 8,090.16 × 1,645.26
  4. Step 4: Simplify right side
    5,393.44x = 13,310,416.64
  5. Step 5: Solve for x
    x = 13,310,416.64/5,393.44
  6. Step 6: Final answer
    x = 2,467.89

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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.