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Finding the Fourth Proportional to 5,679.95, 7,840.46 and 3,322.85

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Solution

The fourth proportional to 5,679.95, 7,840.46 and 3,322.85 is: 4,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.95 : 7,840.46 = 3,322.85 : x
  2. Step 2: Convert to fraction form
    5,679.95/7,840.46 = 3,322.85/x
  3. Step 3: Cross multiply
    5,679.95x = 7,840.46 × 3,322.85
  4. Step 4: Simplify right side
    5,679.95x = 26,052,672.51
  5. Step 5: Solve for x
    x = 26,052,672.51/5,679.95
  6. Step 6: Final answer
    x = 4,586.78

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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.