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Finding the Fourth Proportional to 4,282.80, 5,909.40 and 2,954.40

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Solution

The fourth proportional to 4,282.80, 5,909.40 and 2,954.40 is: 4,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.80 : 5,909.40 = 2,954.40 : x
  2. Step 2: Convert to fraction form
    4,282.80/5,909.40 = 2,954.40/x
  3. Step 3: Cross multiply
    4,282.80x = 5,909.40 × 2,954.40
  4. Step 4: Simplify right side
    4,282.80x = 17,458,731.36
  5. Step 5: Solve for x
    x = 17,458,731.36/4,282.80
  6. Step 6: Final answer
    x = 4,076.48

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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.