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Finding the Fourth Proportional to 5,944.86, 8,205.27 and 3,955.50

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Solution

The fourth proportional to 5,944.86, 8,205.27 and 3,955.50 is: 5,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.86 : 8,205.27 = 3,955.50 : x
  2. Step 2: Convert to fraction form
    5,944.86/8,205.27 = 3,955.50/x
  3. Step 3: Cross multiply
    5,944.86x = 8,205.27 × 3,955.50
  4. Step 4: Simplify right side
    5,944.86x = 32,455,945.49
  5. Step 5: Solve for x
    x = 32,455,945.49/5,944.86
  6. Step 6: Final answer
    x = 5,459.50

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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.