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Finding the Fourth Proportional to 4,072.50, 5,620.05 and 2,209.50

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Solution

The fourth proportional to 4,072.50, 5,620.05 and 2,209.50 is: 3,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.50 : 5,620.05 = 2,209.50 : x
  2. Step 2: Convert to fraction form
    4,072.50/5,620.05 = 2,209.50/x
  3. Step 3: Cross multiply
    4,072.50x = 5,620.05 × 2,209.50
  4. Step 4: Simplify right side
    4,072.50x = 12,417,500.48
  5. Step 5: Solve for x
    x = 12,417,500.48/4,072.50
  6. Step 6: Final answer
    x = 3,049.11

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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.