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Finding the Fourth Proportional to 5,162.28, 7,124 and 2,804.44

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Solution

The fourth proportional to 5,162.28, 7,124 and 2,804.44 is: 3,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.28 : 7,124 = 2,804.44 : x
  2. Step 2: Convert to fraction form
    5,162.28/7,124 = 2,804.44/x
  3. Step 3: Cross multiply
    5,162.28x = 7,124 × 2,804.44
  4. Step 4: Simplify right side
    5,162.28x = 19,978,830.56
  5. Step 5: Solve for x
    x = 19,978,830.56/5,162.28
  6. Step 6: Final answer
    x = 3,870.16

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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.