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Finding the Fourth Proportional to 5,383.59, 7,427.07 and 3,286.50

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Solution

The fourth proportional to 5,383.59, 7,427.07 and 3,286.50 is: 4,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.59 : 7,427.07 = 3,286.50 : x
  2. Step 2: Convert to fraction form
    5,383.59/7,427.07 = 3,286.50/x
  3. Step 3: Cross multiply
    5,383.59x = 7,427.07 × 3,286.50
  4. Step 4: Simplify right side
    5,383.59x = 24,409,065.56
  5. Step 5: Solve for x
    x = 24,409,065.56/5,383.59
  6. Step 6: Final answer
    x = 4,533.98

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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.