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Finding the Fourth Proportional to 5,664.94, 7,817.65 and 3,180.94

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Solution

The fourth proportional to 5,664.94, 7,817.65 and 3,180.94 is: 4,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.94 : 7,817.65 = 3,180.94 : x
  2. Step 2: Convert to fraction form
    5,664.94/7,817.65 = 3,180.94/x
  3. Step 3: Cross multiply
    5,664.94x = 7,817.65 × 3,180.94
  4. Step 4: Simplify right side
    5,664.94x = 24,867,448.09
  5. Step 5: Solve for x
    x = 24,867,448.09/5,664.94
  6. Step 6: Final answer
    x = 4,389.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.