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Finding the Fourth Proportional to 3,701.73, 5,108.04 and 2,209.35

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Solution

The fourth proportional to 3,701.73, 5,108.04 and 2,209.35 is: 3,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.73 : 5,108.04 = 2,209.35 : x
  2. Step 2: Convert to fraction form
    3,701.73/5,108.04 = 2,209.35/x
  3. Step 3: Cross multiply
    3,701.73x = 5,108.04 × 2,209.35
  4. Step 4: Simplify right side
    3,701.73x = 11,285,448.17
  5. Step 5: Solve for x
    x = 11,285,448.17/3,701.73
  6. Step 6: Final answer
    x = 3,048.70

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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.