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Finding the Fourth Proportional to 3,823.56, 5,263.08 and 3,350.34

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Solution

The fourth proportional to 3,823.56, 5,263.08 and 3,350.34 is: 4,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.56 : 5,263.08 = 3,350.34 : x
  2. Step 2: Convert to fraction form
    3,823.56/5,263.08 = 3,350.34/x
  3. Step 3: Cross multiply
    3,823.56x = 5,263.08 × 3,350.34
  4. Step 4: Simplify right side
    3,823.56x = 17,633,107.45
  5. Step 5: Solve for x
    x = 17,633,107.45/3,823.56
  6. Step 6: Final answer
    x = 4,611.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.