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Finding the Fourth Proportional to 4,560.88, 6,830.46 and 2,912.32

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Solution

The fourth proportional to 4,560.88, 6,830.46 and 2,912.32 is: 4,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.88 : 6,830.46 = 2,912.32 : x
  2. Step 2: Convert to fraction form
    4,560.88/6,830.46 = 2,912.32/x
  3. Step 3: Cross multiply
    4,560.88x = 6,830.46 × 2,912.32
  4. Step 4: Simplify right side
    4,560.88x = 19,892,485.27
  5. Step 5: Solve for x
    x = 19,892,485.27/4,560.88
  6. Step 6: Final answer
    x = 4,361.55

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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.