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Finding the Fourth Proportional to 3,928.02, 5,891.35 and 1,295.55

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Solution

The fourth proportional to 3,928.02, 5,891.35 and 1,295.55 is: 1,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.02 : 5,891.35 = 1,295.55 : x
  2. Step 2: Convert to fraction form
    3,928.02/5,891.35 = 1,295.55/x
  3. Step 3: Cross multiply
    3,928.02x = 5,891.35 × 1,295.55
  4. Step 4: Simplify right side
    3,928.02x = 7,632,538.49
  5. Step 5: Solve for x
    x = 7,632,538.49/3,928.02
  6. Step 6: Final answer
    x = 1,943.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.