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Finding the Fourth Proportional to 5,430.69, 7,494.21 and 3,072.78

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Solution

The fourth proportional to 5,430.69, 7,494.21 and 3,072.78 is: 4,240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.69 : 7,494.21 = 3,072.78 : x
  2. Step 2: Convert to fraction form
    5,430.69/7,494.21 = 3,072.78/x
  3. Step 3: Cross multiply
    5,430.69x = 7,494.21 × 3,072.78
  4. Step 4: Simplify right side
    5,430.69x = 23,028,058.60
  5. Step 5: Solve for x
    x = 23,028,058.60/5,430.69
  6. Step 6: Final answer
    x = 4,240.36

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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.