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Finding the Fourth Proportional to 4,616.41, 6,915.36 and 2,147.80

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Solution

The fourth proportional to 4,616.41, 6,915.36 and 2,147.80 is: 3,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.41 : 6,915.36 = 2,147.80 : x
  2. Step 2: Convert to fraction form
    4,616.41/6,915.36 = 2,147.80/x
  3. Step 3: Cross multiply
    4,616.41x = 6,915.36 × 2,147.80
  4. Step 4: Simplify right side
    4,616.41x = 14,852,775.63
  5. Step 5: Solve for x
    x = 14,852,775.63/4,616.41
  6. Step 6: Final answer
    x = 3,217.39

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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.