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Finding the Fourth Proportional to 3,811.22, 5,718.90 and 2,892.50

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Solution

The fourth proportional to 3,811.22, 5,718.90 and 2,892.50 is: 4,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.22 : 5,718.90 = 2,892.50 : x
  2. Step 2: Convert to fraction form
    3,811.22/5,718.90 = 2,892.50/x
  3. Step 3: Cross multiply
    3,811.22x = 5,718.90 × 2,892.50
  4. Step 4: Simplify right side
    3,811.22x = 16,541,918.25
  5. Step 5: Solve for x
    x = 16,541,918.25/3,811.22
  6. Step 6: Final answer
    x = 4,340.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.