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Finding the Fourth Proportional to 4,350.80, 6,004.68 and 2,954

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Solution

The fourth proportional to 4,350.80, 6,004.68 and 2,954 is: 4,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350.80 : 6,004.68 = 2,954 : x
  2. Step 2: Convert to fraction form
    4,350.80/6,004.68 = 2,954/x
  3. Step 3: Cross multiply
    4,350.80x = 6,004.68 × 2,954
  4. Step 4: Simplify right side
    4,350.80x = 17,737,824.72
  5. Step 5: Solve for x
    x = 17,737,824.72/4,350.80
  6. Step 6: Final answer
    x = 4,076.91

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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.