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Finding the Fourth Proportional to 3,496.73, 5,240.13 and 1,937.43

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Solution

The fourth proportional to 3,496.73, 5,240.13 and 1,937.43 is: 2,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.73 : 5,240.13 = 1,937.43 : x
  2. Step 2: Convert to fraction form
    3,496.73/5,240.13 = 1,937.43/x
  3. Step 3: Cross multiply
    3,496.73x = 5,240.13 × 1,937.43
  4. Step 4: Simplify right side
    3,496.73x = 10,152,385.07
  5. Step 5: Solve for x
    x = 10,152,385.07/3,496.73
  6. Step 6: Final answer
    x = 2,903.40

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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.