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Finding the Fourth Proportional to 5,896.54, 8,845.32 and 2,972.98

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Solution

The fourth proportional to 5,896.54, 8,845.32 and 2,972.98 is: 4,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.54 : 8,845.32 = 2,972.98 : x
  2. Step 2: Convert to fraction form
    5,896.54/8,845.32 = 2,972.98/x
  3. Step 3: Cross multiply
    5,896.54x = 8,845.32 × 2,972.98
  4. Step 4: Simplify right side
    5,896.54x = 26,296,959.45
  5. Step 5: Solve for x
    x = 26,296,959.45/5,896.54
  6. Step 6: Final answer
    x = 4,459.73

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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.