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Finding the Fourth Proportional to 3,698.55, 5,103.54 and 2,105.40

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Solution

The fourth proportional to 3,698.55, 5,103.54 and 2,105.40 is: 2,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.55 : 5,103.54 = 2,105.40 : x
  2. Step 2: Convert to fraction form
    3,698.55/5,103.54 = 2,105.40/x
  3. Step 3: Cross multiply
    3,698.55x = 5,103.54 × 2,105.40
  4. Step 4: Simplify right side
    3,698.55x = 10,745,012.25
  5. Step 5: Solve for x
    x = 10,745,012.25/3,698.55
  6. Step 6: Final answer
    x = 2,905.20

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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.