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Finding the Fourth Proportional to 5,846.90, 8,771.54 and 2,149.16

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Solution

The fourth proportional to 5,846.90, 8,771.54 and 2,149.16 is: 3,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.90 : 8,771.54 = 2,149.16 : x
  2. Step 2: Convert to fraction form
    5,846.90/8,771.54 = 2,149.16/x
  3. Step 3: Cross multiply
    5,846.90x = 8,771.54 × 2,149.16
  4. Step 4: Simplify right side
    5,846.90x = 18,851,432.16
  5. Step 5: Solve for x
    x = 18,851,432.16/5,846.90
  6. Step 6: Final answer
    x = 3,224.18

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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.