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Finding the Fourth Proportional to 3,676.40, 5,073.86 and 2,105.00

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Solution

The fourth proportional to 3,676.40, 5,073.86 and 2,105.00 is: 2,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.40 : 5,073.86 = 2,105.00 : x
  2. Step 2: Convert to fraction form
    3,676.40/5,073.86 = 2,105.00/x
  3. Step 3: Cross multiply
    3,676.40x = 5,073.86 × 2,105.00
  4. Step 4: Simplify right side
    3,676.40x = 10,680,455.19
  5. Step 5: Solve for x
    x = 10,680,455.19/3,676.40
  6. Step 6: Final answer
    x = 2,905.14

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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.