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Finding the Fourth Proportional to 3,698.33, 5,102.73 and 2,205.63

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Solution

The fourth proportional to 3,698.33, 5,102.73 and 2,205.63 is: 3,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.33 : 5,102.73 = 2,205.63 : x
  2. Step 2: Convert to fraction form
    3,698.33/5,102.73 = 2,205.63/x
  3. Step 3: Cross multiply
    3,698.33x = 5,102.73 × 2,205.63
  4. Step 4: Simplify right side
    3,698.33x = 11,254,734.37
  5. Step 5: Solve for x
    x = 11,254,734.37/3,698.33
  6. Step 6: Final answer
    x = 3,043.20

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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.