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Finding the Fourth Proportional to 5,683.50, 7,840.65 and 3,324.60

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Solution

The fourth proportional to 5,683.50, 7,840.65 and 3,324.60 is: 4,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.50 : 7,840.65 = 3,324.60 : x
  2. Step 2: Convert to fraction form
    5,683.50/7,840.65 = 3,324.60/x
  3. Step 3: Cross multiply
    5,683.50x = 7,840.65 × 3,324.60
  4. Step 4: Simplify right side
    5,683.50x = 26,067,024.99
  5. Step 5: Solve for x
    x = 26,067,024.99/5,683.50
  6. Step 6: Final answer
    x = 4,586.44

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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.