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Finding the Fourth Proportional to 3,930.85, 5,894.92 and 1,590.27

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Solution

The fourth proportional to 3,930.85, 5,894.92 and 1,590.27 is: 2,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.85 : 5,894.92 = 1,590.27 : x
  2. Step 2: Convert to fraction form
    3,930.85/5,894.92 = 1,590.27/x
  3. Step 3: Cross multiply
    3,930.85x = 5,894.92 × 1,590.27
  4. Step 4: Simplify right side
    3,930.85x = 9,374,514.43
  5. Step 5: Solve for x
    x = 9,374,514.43/3,930.85
  6. Step 6: Final answer
    x = 2,384.86

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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.