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Finding the Fourth Proportional to 5,765.43, 8,648.62 and 4,224.61

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Solution

The fourth proportional to 5,765.43, 8,648.62 and 4,224.61 is: 6,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.43 : 8,648.62 = 4,224.61 : x
  2. Step 2: Convert to fraction form
    5,765.43/8,648.62 = 4,224.61/x
  3. Step 3: Cross multiply
    5,765.43x = 8,648.62 × 4,224.61
  4. Step 4: Simplify right side
    5,765.43x = 36,537,021.90
  5. Step 5: Solve for x
    x = 36,537,021.90/5,765.43
  6. Step 6: Final answer
    x = 6,337.26

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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.