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Finding the Fourth Proportional to 3,895.49, 5,843.34 and 1,263.10

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Solution

The fourth proportional to 3,895.49, 5,843.34 and 1,263.10 is: 1,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.49 : 5,843.34 = 1,263.10 : x
  2. Step 2: Convert to fraction form
    3,895.49/5,843.34 = 1,263.10/x
  3. Step 3: Cross multiply
    3,895.49x = 5,843.34 × 1,263.10
  4. Step 4: Simplify right side
    3,895.49x = 7,380,722.75
  5. Step 5: Solve for x
    x = 7,380,722.75/3,895.49
  6. Step 6: Final answer
    x = 1,894.68

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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.