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Finding the Fourth Proportional to 4,506.46, 6,759.69 and 3,281.67

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Solution

The fourth proportional to 4,506.46, 6,759.69 and 3,281.67 is: 4,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.46 : 6,759.69 = 3,281.67 : x
  2. Step 2: Convert to fraction form
    4,506.46/6,759.69 = 3,281.67/x
  3. Step 3: Cross multiply
    4,506.46x = 6,759.69 × 3,281.67
  4. Step 4: Simplify right side
    4,506.46x = 22,183,034.23
  5. Step 5: Solve for x
    x = 22,183,034.23/4,506.46
  6. Step 6: Final answer
    x = 4,922.50

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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.