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Finding the Fourth Proportional to 3,894.44, 5,840.82 and 1,262.18

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Solution

The fourth proportional to 3,894.44, 5,840.82 and 1,262.18 is: 1,893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.44 : 5,840.82 = 1,262.18 : x
  2. Step 2: Convert to fraction form
    3,894.44/5,840.82 = 1,262.18/x
  3. Step 3: Cross multiply
    3,894.44x = 5,840.82 × 1,262.18
  4. Step 4: Simplify right side
    3,894.44x = 7,372,180.79
  5. Step 5: Solve for x
    x = 7,372,180.79/3,894.44
  6. Step 6: Final answer
    x = 1,893.00

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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.