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Finding the Fourth Proportional to 5,430, 7,493.41 and 3,072.09

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Solution

The fourth proportional to 5,430, 7,493.41 and 3,072.09 is: 4,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430 : 7,493.41 = 3,072.09 : x
  2. Step 2: Convert to fraction form
    5,430/7,493.41 = 3,072.09/x
  3. Step 3: Cross multiply
    5,430x = 7,493.41 × 3,072.09
  4. Step 4: Simplify right side
    5,430x = 23,020,422.25
  5. Step 5: Solve for x
    x = 23,020,422.25/5,430
  6. Step 6: Final answer
    x = 4,239.49

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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.