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Finding the Fourth Proportional to 4,962.63, 6,847.64 and 2,837.80

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Solution

The fourth proportional to 4,962.63, 6,847.64 and 2,837.80 is: 3,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.63 : 6,847.64 = 2,837.80 : x
  2. Step 2: Convert to fraction form
    4,962.63/6,847.64 = 2,837.80/x
  3. Step 3: Cross multiply
    4,962.63x = 6,847.64 × 2,837.80
  4. Step 4: Simplify right side
    4,962.63x = 19,432,237.80
  5. Step 5: Solve for x
    x = 19,432,237.80/4,962.63
  6. Step 6: Final answer
    x = 3,915.71

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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.