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Finding the Fourth Proportional to 5,858.49, 8,789.76 and 3,664.61

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Solution

The fourth proportional to 5,858.49, 8,789.76 and 3,664.61 is: 5,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.49 : 8,789.76 = 3,664.61 : x
  2. Step 2: Convert to fraction form
    5,858.49/8,789.76 = 3,664.61/x
  3. Step 3: Cross multiply
    5,858.49x = 8,789.76 × 3,664.61
  4. Step 4: Simplify right side
    5,858.49x = 32,210,998.44
  5. Step 5: Solve for x
    x = 32,210,998.44/5,858.49
  6. Step 6: Final answer
    x = 5,498.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.