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Finding the Fourth Proportional to 4,393.49, 6,591.76 and 2,546.21

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Solution

The fourth proportional to 4,393.49, 6,591.76 and 2,546.21 is: 3,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.49 : 6,591.76 = 2,546.21 : x
  2. Step 2: Convert to fraction form
    4,393.49/6,591.76 = 2,546.21/x
  3. Step 3: Cross multiply
    4,393.49x = 6,591.76 × 2,546.21
  4. Step 4: Simplify right side
    4,393.49x = 16,784,015.34
  5. Step 5: Solve for x
    x = 16,784,015.34/4,393.49
  6. Step 6: Final answer
    x = 3,820.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.