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Finding the Fourth Proportional to 5,890.69, 8,129.33 and 3,238.12

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Solution

The fourth proportional to 5,890.69, 8,129.33 and 3,238.12 is: 4,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.69 : 8,129.33 = 3,238.12 : x
  2. Step 2: Convert to fraction form
    5,890.69/8,129.33 = 3,238.12/x
  3. Step 3: Cross multiply
    5,890.69x = 8,129.33 × 3,238.12
  4. Step 4: Simplify right side
    5,890.69x = 26,323,746.06
  5. Step 5: Solve for x
    x = 26,323,746.06/5,890.69
  6. Step 6: Final answer
    x = 4,468.70

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