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Finding the Fourth Proportional to 4,506.63, 6,759.94 and 1,584.96

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Solution

The fourth proportional to 4,506.63, 6,759.94 and 1,584.96 is: 2,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.63 : 6,759.94 = 1,584.96 : x
  2. Step 2: Convert to fraction form
    4,506.63/6,759.94 = 1,584.96/x
  3. Step 3: Cross multiply
    4,506.63x = 6,759.94 × 1,584.96
  4. Step 4: Simplify right side
    4,506.63x = 10,714,234.50
  5. Step 5: Solve for x
    x = 10,714,234.50/4,506.63
  6. Step 6: Final answer
    x = 2,377.44

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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.