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Finding the Fourth Proportional to 3,930.86, 5,894.38 and 2,287.98

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Solution

The fourth proportional to 3,930.86, 5,894.38 and 2,287.98 is: 3,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.86 : 5,894.38 = 2,287.98 : x
  2. Step 2: Convert to fraction form
    3,930.86/5,894.38 = 2,287.98/x
  3. Step 3: Cross multiply
    3,930.86x = 5,894.38 × 2,287.98
  4. Step 4: Simplify right side
    3,930.86x = 13,486,223.55
  5. Step 5: Solve for x
    x = 13,486,223.55/3,930.86
  6. Step 6: Final answer
    x = 3,430.86

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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.