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Finding the Fourth Proportional to 4,847.84, 6,687.60 and 3,076.64

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Solution

The fourth proportional to 4,847.84, 6,687.60 and 3,076.64 is: 4,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.84 : 6,687.60 = 3,076.64 : x
  2. Step 2: Convert to fraction form
    4,847.84/6,687.60 = 3,076.64/x
  3. Step 3: Cross multiply
    4,847.84x = 6,687.60 × 3,076.64
  4. Step 4: Simplify right side
    4,847.84x = 20,575,337.66
  5. Step 5: Solve for x
    x = 20,575,337.66/4,847.84
  6. Step 6: Final answer
    x = 4,244.23

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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.