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Finding the Fourth Proportional to 5,197.37, 7,171.76 and 2,928.26

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Solution

The fourth proportional to 5,197.37, 7,171.76 and 2,928.26 is: 4,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.37 : 7,171.76 = 2,928.26 : x
  2. Step 2: Convert to fraction form
    5,197.37/7,171.76 = 2,928.26/x
  3. Step 3: Cross multiply
    5,197.37x = 7,171.76 × 2,928.26
  4. Step 4: Simplify right side
    5,197.37x = 21,000,803.19
  5. Step 5: Solve for x
    x = 21,000,803.19/5,197.37
  6. Step 6: Final answer
    x = 4,040.66

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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.