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Finding the Fourth Proportional to 5,959.98, 8,938.53 and 3,845.16

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Solution

The fourth proportional to 5,959.98, 8,938.53 and 3,845.16 is: 5,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.98 : 8,938.53 = 3,845.16 : x
  2. Step 2: Convert to fraction form
    5,959.98/8,938.53 = 3,845.16/x
  3. Step 3: Cross multiply
    5,959.98x = 8,938.53 × 3,845.16
  4. Step 4: Simplify right side
    5,959.98x = 34,370,078.01
  5. Step 5: Solve for x
    x = 34,370,078.01/5,959.98
  6. Step 6: Final answer
    x = 5,766.81

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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.