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Finding the Fourth Proportional to 5,981.36, 8,219.63 and 5,706.96

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Solution

The fourth proportional to 5,981.36, 8,219.63 and 5,706.96 is: 7,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.36 : 8,219.63 = 5,706.96 : x
  2. Step 2: Convert to fraction form
    5,981.36/8,219.63 = 5,706.96/x
  3. Step 3: Cross multiply
    5,981.36x = 8,219.63 × 5,706.96
  4. Step 4: Simplify right side
    5,981.36x = 46,909,050.97
  5. Step 5: Solve for x
    x = 46,909,050.97/5,981.36
  6. Step 6: Final answer
    x = 7,842.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.