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Finding the Fourth Proportional to 4,546.08, 6,274.17 and 2,777.31

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Solution

The fourth proportional to 4,546.08, 6,274.17 and 2,777.31 is: 3,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.08 : 6,274.17 = 2,777.31 : x
  2. Step 2: Convert to fraction form
    4,546.08/6,274.17 = 2,777.31/x
  3. Step 3: Cross multiply
    4,546.08x = 6,274.17 × 2,777.31
  4. Step 4: Simplify right side
    4,546.08x = 17,425,315.08
  5. Step 5: Solve for x
    x = 17,425,315.08/4,546.08
  6. Step 6: Final answer
    x = 3,833.04

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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.