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Finding the Fourth Proportional to 4,546.16, 6,274.84 and 2,778.80

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Solution

The fourth proportional to 4,546.16, 6,274.84 and 2,778.80 is: 3,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.16 : 6,274.84 = 2,778.80 : x
  2. Step 2: Convert to fraction form
    4,546.16/6,274.84 = 2,778.80/x
  3. Step 3: Cross multiply
    4,546.16x = 6,274.84 × 2,778.80
  4. Step 4: Simplify right side
    4,546.16x = 17,436,525.39
  5. Step 5: Solve for x
    x = 17,436,525.39/4,546.16
  6. Step 6: Final answer
    x = 3,835.44

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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.