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Finding the Fourth Proportional to 5,309.69, 7,951.86 and 3,083.81

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Solution

The fourth proportional to 5,309.69, 7,951.86 and 3,083.81 is: 4,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.69 : 7,951.86 = 3,083.81 : x
  2. Step 2: Convert to fraction form
    5,309.69/7,951.86 = 3,083.81/x
  3. Step 3: Cross multiply
    5,309.69x = 7,951.86 × 3,083.81
  4. Step 4: Simplify right side
    5,309.69x = 24,521,985.63
  5. Step 5: Solve for x
    x = 24,521,985.63/5,309.69
  6. Step 6: Final answer
    x = 4,618.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.