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Finding the Fourth Proportional to 5,863.19, 8,784.45 and 3,083.27

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Solution

The fourth proportional to 5,863.19, 8,784.45 and 3,083.27 is: 4,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.19 : 8,784.45 = 3,083.27 : x
  2. Step 2: Convert to fraction form
    5,863.19/8,784.45 = 3,083.27/x
  3. Step 3: Cross multiply
    5,863.19x = 8,784.45 × 3,083.27
  4. Step 4: Simplify right side
    5,863.19x = 27,084,831.15
  5. Step 5: Solve for x
    x = 27,084,831.15/5,863.19
  6. Step 6: Final answer
    x = 4,619.47

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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.