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Finding the Fourth Proportional to 4,577.67, 6,866.24 and 2,823.01

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Solution

The fourth proportional to 4,577.67, 6,866.24 and 2,823.01 is: 4,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.67 : 6,866.24 = 2,823.01 : x
  2. Step 2: Convert to fraction form
    4,577.67/6,866.24 = 2,823.01/x
  3. Step 3: Cross multiply
    4,577.67x = 6,866.24 × 2,823.01
  4. Step 4: Simplify right side
    4,577.67x = 19,383,432.90
  5. Step 5: Solve for x
    x = 19,383,432.90/4,577.67
  6. Step 6: Final answer
    x = 4,234.34

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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.