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Finding the Fourth Proportional to 3,912.82, 5,838.60 and 3,498.50

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Solution

The fourth proportional to 3,912.82, 5,838.60 and 3,498.50 is: 5,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.82 : 5,838.60 = 3,498.50 : x
  2. Step 2: Convert to fraction form
    3,912.82/5,838.60 = 3,498.50/x
  3. Step 3: Cross multiply
    3,912.82x = 5,838.60 × 3,498.50
  4. Step 4: Simplify right side
    3,912.82x = 20,426,342.10
  5. Step 5: Solve for x
    x = 20,426,342.10/3,912.82
  6. Step 6: Final answer
    x = 5,220.36

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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.