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Finding the Fourth Proportional to 5,959.89, 8,224.73 and 3,442.11

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Solution

The fourth proportional to 5,959.89, 8,224.73 and 3,442.11 is: 4,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.89 : 8,224.73 = 3,442.11 : x
  2. Step 2: Convert to fraction form
    5,959.89/8,224.73 = 3,442.11/x
  3. Step 3: Cross multiply
    5,959.89x = 8,224.73 × 3,442.11
  4. Step 4: Simplify right side
    5,959.89x = 28,310,425.38
  5. Step 5: Solve for x
    x = 28,310,425.38/5,959.89
  6. Step 6: Final answer
    x = 4,750.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.