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Finding the Fourth Proportional to 5,430.54, 7,494.30 and 3,072.63

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Solution

The fourth proportional to 5,430.54, 7,494.30 and 3,072.63 is: 4,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.54 : 7,494.30 = 3,072.63 : x
  2. Step 2: Convert to fraction form
    5,430.54/7,494.30 = 3,072.63/x
  3. Step 3: Cross multiply
    5,430.54x = 7,494.30 × 3,072.63
  4. Step 4: Simplify right side
    5,430.54x = 23,027,211.01
  5. Step 5: Solve for x
    x = 23,027,211.01/5,430.54
  6. Step 6: Final answer
    x = 4,240.32

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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.