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Finding the Fourth Proportional to 4,276.52, 6,412.01 and 2,811.23

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Solution

The fourth proportional to 4,276.52, 6,412.01 and 2,811.23 is: 4,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.52 : 6,412.01 = 2,811.23 : x
  2. Step 2: Convert to fraction form
    4,276.52/6,412.01 = 2,811.23/x
  3. Step 3: Cross multiply
    4,276.52x = 6,412.01 × 2,811.23
  4. Step 4: Simplify right side
    4,276.52x = 18,025,634.87
  5. Step 5: Solve for x
    x = 18,025,634.87/4,276.52
  6. Step 6: Final answer
    x = 4,215.02

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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.