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Finding the Fourth Proportional to 3,894.12, 5,841.56 and 1,297.24

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Solution

The fourth proportional to 3,894.12, 5,841.56 and 1,297.24 is: 1,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.12 : 5,841.56 = 1,297.24 : x
  2. Step 2: Convert to fraction form
    3,894.12/5,841.56 = 1,297.24/x
  3. Step 3: Cross multiply
    3,894.12x = 5,841.56 × 1,297.24
  4. Step 4: Simplify right side
    3,894.12x = 7,577,905.29
  5. Step 5: Solve for x
    x = 7,577,905.29/3,894.12
  6. Step 6: Final answer
    x = 1,945.99

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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.