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Finding the Fourth Proportional to 3,497.43, 5,245.98 and 1,305.99

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Solution

The fourth proportional to 3,497.43, 5,245.98 and 1,305.99 is: 1,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.43 : 5,245.98 = 1,305.99 : x
  2. Step 2: Convert to fraction form
    3,497.43/5,245.98 = 1,305.99/x
  3. Step 3: Cross multiply
    3,497.43x = 5,245.98 × 1,305.99
  4. Step 4: Simplify right side
    3,497.43x = 6,851,197.42
  5. Step 5: Solve for x
    x = 6,851,197.42/3,497.43
  6. Step 6: Final answer
    x = 1,958.92

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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.