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Finding the Fourth Proportional to 3,398.45, 5,097.92 and 933.08

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Solution

The fourth proportional to 3,398.45, 5,097.92 and 933.08 is: 1,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.45 : 5,097.92 = 933.08 : x
  2. Step 2: Convert to fraction form
    3,398.45/5,097.92 = 933.08/x
  3. Step 3: Cross multiply
    3,398.45x = 5,097.92 × 933.08
  4. Step 4: Simplify right side
    3,398.45x = 4,756,737.04
  5. Step 5: Solve for x
    x = 4,756,737.04/3,398.45
  6. Step 6: Final answer
    x = 1,399.68

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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.