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Finding the Fourth Proportional to 3,933.39, 5,897.34 and 1,740.92

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Solution

The fourth proportional to 3,933.39, 5,897.34 and 1,740.92 is: 2,610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.39 : 5,897.34 = 1,740.92 : x
  2. Step 2: Convert to fraction form
    3,933.39/5,897.34 = 1,740.92/x
  3. Step 3: Cross multiply
    3,933.39x = 5,897.34 × 1,740.92
  4. Step 4: Simplify right side
    3,933.39x = 10,266,797.15
  5. Step 5: Solve for x
    x = 10,266,797.15/3,933.39
  6. Step 6: Final answer
    x = 2,610.17

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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.