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Finding the Fourth Proportional to 3,533.86, 4,876.80 and 1,962.05

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Solution

The fourth proportional to 3,533.86, 4,876.80 and 1,962.05 is: 2,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.86 : 4,876.80 = 1,962.05 : x
  2. Step 2: Convert to fraction form
    3,533.86/4,876.80 = 1,962.05/x
  3. Step 3: Cross multiply
    3,533.86x = 4,876.80 × 1,962.05
  4. Step 4: Simplify right side
    3,533.86x = 9,568,525.44
  5. Step 5: Solve for x
    x = 9,568,525.44/3,533.86
  6. Step 6: Final answer
    x = 2,707.67

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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.