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Finding the Fourth Proportional to 3,397.37, 5,090.29 and 1,643.20

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Solution

The fourth proportional to 3,397.37, 5,090.29 and 1,643.20 is: 2,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.37 : 5,090.29 = 1,643.20 : x
  2. Step 2: Convert to fraction form
    3,397.37/5,090.29 = 1,643.20/x
  3. Step 3: Cross multiply
    3,397.37x = 5,090.29 × 1,643.20
  4. Step 4: Simplify right side
    3,397.37x = 8,364,387.88
  5. Step 5: Solve for x
    x = 8,364,387.88/3,397.37
  6. Step 6: Final answer
    x = 2,462.02

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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.