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Finding the Fourth Proportional to 4,977.28, 7,459.44 and 3,817.36

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Solution

The fourth proportional to 4,977.28, 7,459.44 and 3,817.36 is: 5,721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.28 : 7,459.44 = 3,817.36 : x
  2. Step 2: Convert to fraction form
    4,977.28/7,459.44 = 3,817.36/x
  3. Step 3: Cross multiply
    4,977.28x = 7,459.44 × 3,817.36
  4. Step 4: Simplify right side
    4,977.28x = 28,475,367.88
  5. Step 5: Solve for x
    x = 28,475,367.88/4,977.28
  6. Step 6: Final answer
    x = 5,721.07

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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.