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Finding the Fourth Proportional to 3,701.63, 5,108.25 and 2,045.63

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Solution

The fourth proportional to 3,701.63, 5,108.25 and 2,045.63 is: 2,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.63 : 5,108.25 = 2,045.63 : x
  2. Step 2: Convert to fraction form
    3,701.63/5,108.25 = 2,045.63/x
  3. Step 3: Cross multiply
    3,701.63x = 5,108.25 × 2,045.63
  4. Step 4: Simplify right side
    3,701.63x = 10,449,589.45
  5. Step 5: Solve for x
    x = 10,449,589.45/3,701.63
  6. Step 6: Final answer
    x = 2,822.97

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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.