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Finding the Fourth Proportional to 5,230.44, 7,215.41 and 3,105

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Solution

The fourth proportional to 5,230.44, 7,215.41 and 3,105 is: 4,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.44 : 7,215.41 = 3,105 : x
  2. Step 2: Convert to fraction form
    5,230.44/7,215.41 = 3,105/x
  3. Step 3: Cross multiply
    5,230.44x = 7,215.41 × 3,105
  4. Step 4: Simplify right side
    5,230.44x = 22,403,855.81
  5. Step 5: Solve for x
    x = 22,403,855.81/5,230.44
  6. Step 6: Final answer
    x = 4,283.36

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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.