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Finding the Fourth Proportional to 4,576.50, 6,861.51 and 3,260.25

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Solution

The fourth proportional to 4,576.50, 6,861.51 and 3,260.25 is: 4,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.50 : 6,861.51 = 3,260.25 : x
  2. Step 2: Convert to fraction form
    4,576.50/6,861.51 = 3,260.25/x
  3. Step 3: Cross multiply
    4,576.50x = 6,861.51 × 3,260.25
  4. Step 4: Simplify right side
    4,576.50x = 22,370,237.98
  5. Step 5: Solve for x
    x = 22,370,237.98/4,576.50
  6. Step 6: Final answer
    x = 4,888.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.