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Finding the Fourth Proportional to 3,698.70, 5,102.39 and 2,205.77

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Solution

The fourth proportional to 3,698.70, 5,102.39 and 2,205.77 is: 3,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.70 : 5,102.39 = 2,205.77 : x
  2. Step 2: Convert to fraction form
    3,698.70/5,102.39 = 2,205.77/x
  3. Step 3: Cross multiply
    3,698.70x = 5,102.39 × 2,205.77
  4. Step 4: Simplify right side
    3,698.70x = 11,254,678.79
  5. Step 5: Solve for x
    x = 11,254,678.79/3,698.70
  6. Step 6: Final answer
    x = 3,042.88

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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.