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Finding the Fourth Proportional to 3,297.36, 4,912.74 and 3,140.63

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Solution

The fourth proportional to 3,297.36, 4,912.74 and 3,140.63 is: 4,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.36 : 4,912.74 = 3,140.63 : x
  2. Step 2: Convert to fraction form
    3,297.36/4,912.74 = 3,140.63/x
  3. Step 3: Cross multiply
    3,297.36x = 4,912.74 × 3,140.63
  4. Step 4: Simplify right side
    3,297.36x = 15,429,058.36
  5. Step 5: Solve for x
    x = 15,429,058.36/3,297.36
  6. Step 6: Final answer
    x = 4,679.22

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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.