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Finding the Fourth Proportional to 3,925.88, 5,414.82 and 3,401

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Solution

The fourth proportional to 3,925.88, 5,414.82 and 3,401 is: 4,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.88 : 5,414.82 = 3,401 : x
  2. Step 2: Convert to fraction form
    3,925.88/5,414.82 = 3,401/x
  3. Step 3: Cross multiply
    3,925.88x = 5,414.82 × 3,401
  4. Step 4: Simplify right side
    3,925.88x = 18,415,802.82
  5. Step 5: Solve for x
    x = 18,415,802.82/3,925.88
  6. Step 6: Final answer
    x = 4,690.87

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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.