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Finding the Fourth Proportional to 5,682.18, 7,840.85 and 3,323.86

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Solution

The fourth proportional to 5,682.18, 7,840.85 and 3,323.86 is: 4,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.18 : 7,840.85 = 3,323.86 : x
  2. Step 2: Convert to fraction form
    5,682.18/7,840.85 = 3,323.86/x
  3. Step 3: Cross multiply
    5,682.18x = 7,840.85 × 3,323.86
  4. Step 4: Simplify right side
    5,682.18x = 26,061,887.68
  5. Step 5: Solve for x
    x = 26,061,887.68/5,682.18
  6. Step 6: Final answer
    x = 4,586.60

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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.