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Finding the Fourth Proportional to 5,541.51, 7,647.17 and 3,023.69

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Solution

The fourth proportional to 5,541.51, 7,647.17 and 3,023.69 is: 4,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.51 : 7,647.17 = 3,023.69 : x
  2. Step 2: Convert to fraction form
    5,541.51/7,647.17 = 3,023.69/x
  3. Step 3: Cross multiply
    5,541.51x = 7,647.17 × 3,023.69
  4. Step 4: Simplify right side
    5,541.51x = 23,122,675.46
  5. Step 5: Solve for x
    x = 23,122,675.46/5,541.51
  6. Step 6: Final answer
    x = 4,172.63

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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.