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Finding the Fourth Proportional to 3,930.02, 5,894.30 and 1,589.42

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Solution

The fourth proportional to 3,930.02, 5,894.30 and 1,589.42 is: 2,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.02 : 5,894.30 = 1,589.42 : x
  2. Step 2: Convert to fraction form
    3,930.02/5,894.30 = 1,589.42/x
  3. Step 3: Cross multiply
    3,930.02x = 5,894.30 × 1,589.42
  4. Step 4: Simplify right side
    3,930.02x = 9,368,518.31
  5. Step 5: Solve for x
    x = 9,368,518.31/3,930.02
  6. Step 6: Final answer
    x = 2,383.83

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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.