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Finding the Fourth Proportional to 3,076.64, 4,592.58 and 2,687.84

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Solution

The fourth proportional to 3,076.64, 4,592.58 and 2,687.84 is: 4,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.64 : 4,592.58 = 2,687.84 : x
  2. Step 2: Convert to fraction form
    3,076.64/4,592.58 = 2,687.84/x
  3. Step 3: Cross multiply
    3,076.64x = 4,592.58 × 2,687.84
  4. Step 4: Simplify right side
    3,076.64x = 12,344,120.23
  5. Step 5: Solve for x
    x = 12,344,120.23/3,076.64
  6. Step 6: Final answer
    x = 4,012.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.