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Finding the Fourth Proportional to 5,731.89, 8,586.73 and 3,354.21

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Solution

The fourth proportional to 5,731.89, 8,586.73 and 3,354.21 is: 5,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.89 : 8,586.73 = 3,354.21 : x
  2. Step 2: Convert to fraction form
    5,731.89/8,586.73 = 3,354.21/x
  3. Step 3: Cross multiply
    5,731.89x = 8,586.73 × 3,354.21
  4. Step 4: Simplify right side
    5,731.89x = 28,801,708.71
  5. Step 5: Solve for x
    x = 28,801,708.71/5,731.89
  6. Step 6: Final answer
    x = 5,024.82

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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.