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Finding the Fourth Proportional to 5,896.14, 8,842.05 and 2,431.50

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Solution

The fourth proportional to 5,896.14, 8,842.05 and 2,431.50 is: 3,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.14 : 8,842.05 = 2,431.50 : x
  2. Step 2: Convert to fraction form
    5,896.14/8,842.05 = 2,431.50/x
  3. Step 3: Cross multiply
    5,896.14x = 8,842.05 × 2,431.50
  4. Step 4: Simplify right side
    5,896.14x = 21,499,444.58
  5. Step 5: Solve for x
    x = 21,499,444.58/5,896.14
  6. Step 6: Final answer
    x = 3,646.36

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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.