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Finding the Fourth Proportional to 3,704.96, 5,091.46 and 3,533.64

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Solution

The fourth proportional to 3,704.96, 5,091.46 and 3,533.64 is: 4,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.96 : 5,091.46 = 3,533.64 : x
  2. Step 2: Convert to fraction form
    3,704.96/5,091.46 = 3,533.64/x
  3. Step 3: Cross multiply
    3,704.96x = 5,091.46 × 3,533.64
  4. Step 4: Simplify right side
    3,704.96x = 17,991,386.71
  5. Step 5: Solve for x
    x = 17,991,386.71/3,704.96
  6. Step 6: Final answer
    x = 4,856.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.