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Finding the Fourth Proportional to 3,625.77, 5,414.01 and 3,420.44

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Solution

The fourth proportional to 3,625.77, 5,414.01 and 3,420.44 is: 5,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.77 : 5,414.01 = 3,420.44 : x
  2. Step 2: Convert to fraction form
    3,625.77/5,414.01 = 3,420.44/x
  3. Step 3: Cross multiply
    3,625.77x = 5,414.01 × 3,420.44
  4. Step 4: Simplify right side
    3,625.77x = 18,518,269.29
  5. Step 5: Solve for x
    x = 18,518,269.29/3,625.77
  6. Step 6: Final answer
    x = 5,107.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.