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Finding the Fourth Proportional to 4,274.98, 5,895.78 and 2,782.36

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Solution

The fourth proportional to 4,274.98, 5,895.78 and 2,782.36 is: 3,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.98 : 5,895.78 = 2,782.36 : x
  2. Step 2: Convert to fraction form
    4,274.98/5,895.78 = 2,782.36/x
  3. Step 3: Cross multiply
    4,274.98x = 5,895.78 × 2,782.36
  4. Step 4: Simplify right side
    4,274.98x = 16,404,182.44
  5. Step 5: Solve for x
    x = 16,404,182.44/4,274.98
  6. Step 6: Final answer
    x = 3,837.25

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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.