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Finding the Fourth Proportional to 5,683.08, 7,840.47 and 4,194.54

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Solution

The fourth proportional to 5,683.08, 7,840.47 and 4,194.54 is: 5,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.08 : 7,840.47 = 4,194.54 : x
  2. Step 2: Convert to fraction form
    5,683.08/7,840.47 = 4,194.54/x
  3. Step 3: Cross multiply
    5,683.08x = 7,840.47 × 4,194.54
  4. Step 4: Simplify right side
    5,683.08x = 32,887,165.03
  5. Step 5: Solve for x
    x = 32,887,165.03/5,683.08
  6. Step 6: Final answer
    x = 5,786.86

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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.