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Finding the Fourth Proportional to 3,504.60, 5,255.46 and 2,809.08

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Solution

The fourth proportional to 3,504.60, 5,255.46 and 2,809.08 is: 4,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.60 : 5,255.46 = 2,809.08 : x
  2. Step 2: Convert to fraction form
    3,504.60/5,255.46 = 2,809.08/x
  3. Step 3: Cross multiply
    3,504.60x = 5,255.46 × 2,809.08
  4. Step 4: Simplify right side
    3,504.60x = 14,763,007.58
  5. Step 5: Solve for x
    x = 14,763,007.58/3,504.60
  6. Step 6: Final answer
    x = 4,212.47

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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.