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Finding the Fourth Proportional to 4,845.84, 6,686.04 and 3,076.80

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Solution

The fourth proportional to 4,845.84, 6,686.04 and 3,076.80 is: 4,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845.84 : 6,686.04 = 3,076.80 : x
  2. Step 2: Convert to fraction form
    4,845.84/6,686.04 = 3,076.80/x
  3. Step 3: Cross multiply
    4,845.84x = 6,686.04 × 3,076.80
  4. Step 4: Simplify right side
    4,845.84x = 20,571,607.87
  5. Step 5: Solve for x
    x = 20,571,607.87/4,845.84
  6. Step 6: Final answer
    x = 4,245.21

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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.