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Finding the Fourth Proportional to 3,398.96, 5,097.50 and 933.19

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Solution

The fourth proportional to 3,398.96, 5,097.50 and 933.19 is: 1,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.96 : 5,097.50 = 933.19 : x
  2. Step 2: Convert to fraction form
    3,398.96/5,097.50 = 933.19/x
  3. Step 3: Cross multiply
    3,398.96x = 5,097.50 × 933.19
  4. Step 4: Simplify right side
    3,398.96x = 4,756,936.03
  5. Step 5: Solve for x
    x = 4,756,936.03/3,398.96
  6. Step 6: Final answer
    x = 1,399.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.