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Finding the Fourth Proportional to 5,541.94, 7,647.92 and 3,024.07

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Solution

The fourth proportional to 5,541.94, 7,647.92 and 3,024.07 is: 4,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.94 : 7,647.92 = 3,024.07 : x
  2. Step 2: Convert to fraction form
    5,541.94/7,647.92 = 3,024.07/x
  3. Step 3: Cross multiply
    5,541.94x = 7,647.92 × 3,024.07
  4. Step 4: Simplify right side
    5,541.94x = 23,127,792.07
  5. Step 5: Solve for x
    x = 23,127,792.07/5,541.94
  6. Step 6: Final answer
    x = 4,173.23

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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.