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Finding the Fourth Proportional to 5,857.54, 8,783.07 and 1,959.82

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Solution

The fourth proportional to 5,857.54, 8,783.07 and 1,959.82 is: 2,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.54 : 8,783.07 = 1,959.82 : x
  2. Step 2: Convert to fraction form
    5,857.54/8,783.07 = 1,959.82/x
  3. Step 3: Cross multiply
    5,857.54x = 8,783.07 × 1,959.82
  4. Step 4: Simplify right side
    5,857.54x = 17,213,236.25
  5. Step 5: Solve for x
    x = 17,213,236.25/5,857.54
  6. Step 6: Final answer
    x = 2,938.65

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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.