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Finding the Fourth Proportional to 5,896.70, 8,836.85 and 4,896.15

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Solution

The fourth proportional to 5,896.70, 8,836.85 and 4,896.15 is: 7,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.70 : 8,836.85 = 4,896.15 : x
  2. Step 2: Convert to fraction form
    5,896.70/8,836.85 = 4,896.15/x
  3. Step 3: Cross multiply
    5,896.70x = 8,836.85 × 4,896.15
  4. Step 4: Simplify right side
    5,896.70x = 43,266,494.69
  5. Step 5: Solve for x
    x = 43,266,494.69/5,896.70
  6. Step 6: Final answer
    x = 7,337.41

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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.