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Finding the Fourth Proportional to 5,932.63, 8,187.16 and 3,840.40

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Solution

The fourth proportional to 5,932.63, 8,187.16 and 3,840.40 is: 5,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.63 : 8,187.16 = 3,840.40 : x
  2. Step 2: Convert to fraction form
    5,932.63/8,187.16 = 3,840.40/x
  3. Step 3: Cross multiply
    5,932.63x = 8,187.16 × 3,840.40
  4. Step 4: Simplify right side
    5,932.63x = 31,441,969.26
  5. Step 5: Solve for x
    x = 31,441,969.26/5,932.63
  6. Step 6: Final answer
    x = 5,299.84

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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.