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Finding the Fourth Proportional to 3,698.46, 5,101.74 and 2,206.26

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Solution

The fourth proportional to 3,698.46, 5,101.74 and 2,206.26 is: 3,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.46 : 5,101.74 = 2,206.26 : x
  2. Step 2: Convert to fraction form
    3,698.46/5,101.74 = 2,206.26/x
  3. Step 3: Cross multiply
    3,698.46x = 5,101.74 × 2,206.26
  4. Step 4: Simplify right side
    3,698.46x = 11,255,764.89
  5. Step 5: Solve for x
    x = 11,255,764.89/3,698.46
  6. Step 6: Final answer
    x = 3,043.37

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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.