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Finding the Fourth Proportional to 5,541.50, 7,647.17 and 3,023.63

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Solution

The fourth proportional to 5,541.50, 7,647.17 and 3,023.63 is: 4,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.50 : 7,647.17 = 3,023.63 : x
  2. Step 2: Convert to fraction form
    5,541.50/7,647.17 = 3,023.63/x
  3. Step 3: Cross multiply
    5,541.50x = 7,647.17 × 3,023.63
  4. Step 4: Simplify right side
    5,541.50x = 23,122,159.27
  5. Step 5: Solve for x
    x = 23,122,159.27/5,541.50
  6. Step 6: Final answer
    x = 4,172.55

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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.