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Finding the Fourth Proportional to 5,833.42, 8,051.42 and 3,708.54

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Solution

The fourth proportional to 5,833.42, 8,051.42 and 3,708.54 is: 5,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.42 : 8,051.42 = 3,708.54 : x
  2. Step 2: Convert to fraction form
    5,833.42/8,051.42 = 3,708.54/x
  3. Step 3: Cross multiply
    5,833.42x = 8,051.42 × 3,708.54
  4. Step 4: Simplify right side
    5,833.42x = 29,858,972.87
  5. Step 5: Solve for x
    x = 29,858,972.87/5,833.42
  6. Step 6: Final answer
    x = 5,118.61

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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.