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Finding the Fourth Proportional to 5,890.96, 8,129.37 and 3,238.39

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Solution

The fourth proportional to 5,890.96, 8,129.37 and 3,238.39 is: 4,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.96 : 8,129.37 = 3,238.39 : x
  2. Step 2: Convert to fraction form
    5,890.96/8,129.37 = 3,238.39/x
  3. Step 3: Cross multiply
    5,890.96x = 8,129.37 × 3,238.39
  4. Step 4: Simplify right side
    5,890.96x = 26,326,070.51
  5. Step 5: Solve for x
    x = 26,326,070.51/5,890.96
  6. Step 6: Final answer
    x = 4,468.89

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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.