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Finding the Fourth Proportional to 5,796.82, 8,696.85 and 1,903.96

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Solution

The fourth proportional to 5,796.82, 8,696.85 and 1,903.96 is: 2,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.82 : 8,696.85 = 1,903.96 : x
  2. Step 2: Convert to fraction form
    5,796.82/8,696.85 = 1,903.96/x
  3. Step 3: Cross multiply
    5,796.82x = 8,696.85 × 1,903.96
  4. Step 4: Simplify right side
    5,796.82x = 16,558,432.78
  5. Step 5: Solve for x
    x = 16,558,432.78/5,796.82
  6. Step 6: Final answer
    x = 2,856.47

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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.