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Finding the Fourth Proportional to 4,563.89, 6,845.30 and 1,277.24

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Solution

The fourth proportional to 4,563.89, 6,845.30 and 1,277.24 is: 1,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.89 : 6,845.30 = 1,277.24 : x
  2. Step 2: Convert to fraction form
    4,563.89/6,845.30 = 1,277.24/x
  3. Step 3: Cross multiply
    4,563.89x = 6,845.30 × 1,277.24
  4. Step 4: Simplify right side
    4,563.89x = 8,743,056.75
  5. Step 5: Solve for x
    x = 8,743,056.75/4,563.89
  6. Step 6: Final answer
    x = 1,915.70

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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.