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Finding the Fourth Proportional to 5,928.50, 8,185.14 and 3,804.95

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Solution

The fourth proportional to 5,928.50, 8,185.14 and 3,804.95 is: 5,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.50 : 8,185.14 = 3,804.95 : x
  2. Step 2: Convert to fraction form
    5,928.50/8,185.14 = 3,804.95/x
  3. Step 3: Cross multiply
    5,928.50x = 8,185.14 × 3,804.95
  4. Step 4: Simplify right side
    5,928.50x = 31,144,007.52
  5. Step 5: Solve for x
    x = 31,144,007.52/5,928.50
  6. Step 6: Final answer
    x = 5,253.27

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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.