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Finding the Fourth Proportional to 3,398.75, 5,097.27 and 933.44

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Solution

The fourth proportional to 3,398.75, 5,097.27 and 933.44 is: 1,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.75 : 5,097.27 = 933.44 : x
  2. Step 2: Convert to fraction form
    3,398.75/5,097.27 = 933.44/x
  3. Step 3: Cross multiply
    3,398.75x = 5,097.27 × 933.44
  4. Step 4: Simplify right side
    3,398.75x = 4,757,995.71
  5. Step 5: Solve for x
    x = 4,757,995.71/3,398.75
  6. Step 6: Final answer
    x = 1,399.93

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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.