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Finding the Fourth Proportional to 3,254.89, 4,880.46 and 2,865.67

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Solution

The fourth proportional to 3,254.89, 4,880.46 and 2,865.67 is: 4,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.89 : 4,880.46 = 2,865.67 : x
  2. Step 2: Convert to fraction form
    3,254.89/4,880.46 = 2,865.67/x
  3. Step 3: Cross multiply
    3,254.89x = 4,880.46 × 2,865.67
  4. Step 4: Simplify right side
    3,254.89x = 13,985,787.20
  5. Step 5: Solve for x
    x = 13,985,787.20/3,254.89
  6. Step 6: Final answer
    x = 4,296.85

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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.