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Finding the Fourth Proportional to 3,291.90, 4,912.37 and 2,941.42

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Solution

The fourth proportional to 3,291.90, 4,912.37 and 2,941.42 is: 4,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.90 : 4,912.37 = 2,941.42 : x
  2. Step 2: Convert to fraction form
    3,291.90/4,912.37 = 2,941.42/x
  3. Step 3: Cross multiply
    3,291.90x = 4,912.37 × 2,941.42
  4. Step 4: Simplify right side
    3,291.90x = 14,449,343.37
  5. Step 5: Solve for x
    x = 14,449,343.37/3,291.90
  6. Step 6: Final answer
    x = 4,389.36

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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.