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Finding the Fourth Proportional to 3,845.36, 5,763.74 and 3,533.96

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Solution

The fourth proportional to 3,845.36, 5,763.74 and 3,533.96 is: 5,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.36 : 5,763.74 = 3,533.96 : x
  2. Step 2: Convert to fraction form
    3,845.36/5,763.74 = 3,533.96/x
  3. Step 3: Cross multiply
    3,845.36x = 5,763.74 × 3,533.96
  4. Step 4: Simplify right side
    3,845.36x = 20,368,780.12
  5. Step 5: Solve for x
    x = 20,368,780.12/3,845.36
  6. Step 6: Final answer
    x = 5,296.98

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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.