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Finding the Fourth Proportional to 5,209.56, 7,809.30 and 2,604.60

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Solution

The fourth proportional to 5,209.56, 7,809.30 and 2,604.60 is: 3,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.56 : 7,809.30 = 2,604.60 : x
  2. Step 2: Convert to fraction form
    5,209.56/7,809.30 = 2,604.60/x
  3. Step 3: Cross multiply
    5,209.56x = 7,809.30 × 2,604.60
  4. Step 4: Simplify right side
    5,209.56x = 20,340,102.78
  5. Step 5: Solve for x
    x = 20,340,102.78/5,209.56
  6. Step 6: Final answer
    x = 3,904.38

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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.