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Finding the Fourth Proportional to 5,709.48, 8,558.42 and 3,860.81

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Solution

The fourth proportional to 5,709.48, 8,558.42 and 3,860.81 is: 5,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.48 : 8,558.42 = 3,860.81 : x
  2. Step 2: Convert to fraction form
    5,709.48/8,558.42 = 3,860.81/x
  3. Step 3: Cross multiply
    5,709.48x = 8,558.42 × 3,860.81
  4. Step 4: Simplify right side
    5,709.48x = 33,042,400.38
  5. Step 5: Solve for x
    x = 33,042,400.38/5,709.48
  6. Step 6: Final answer
    x = 5,787.29

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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.