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Finding the Fourth Proportional to 4,977.36, 7,456.32 and 3,817.44

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Solution

The fourth proportional to 4,977.36, 7,456.32 and 3,817.44 is: 5,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.36 : 7,456.32 = 3,817.44 : x
  2. Step 2: Convert to fraction form
    4,977.36/7,456.32 = 3,817.44/x
  3. Step 3: Cross multiply
    4,977.36x = 7,456.32 × 3,817.44
  4. Step 4: Simplify right side
    4,977.36x = 28,464,054.22
  5. Step 5: Solve for x
    x = 28,464,054.22/4,977.36
  6. Step 6: Final answer
    x = 5,718.71

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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.