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Finding the Fourth Proportional to 4,621.46, 6,375.02 and 3,205.98

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Solution

The fourth proportional to 4,621.46, 6,375.02 and 3,205.98 is: 4,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,621.46 : 6,375.02 = 3,205.98 : x
  2. Step 2: Convert to fraction form
    4,621.46/6,375.02 = 3,205.98/x
  3. Step 3: Cross multiply
    4,621.46x = 6,375.02 × 3,205.98
  4. Step 4: Simplify right side
    4,621.46x = 20,438,170.59
  5. Step 5: Solve for x
    x = 20,438,170.59/4,621.46
  6. Step 6: Final answer
    x = 4,422.45

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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.