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Finding the Fourth Proportional to 4,541.44, 6,816.93 and 4,024.75

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Solution

The fourth proportional to 4,541.44, 6,816.93 and 4,024.75 is: 6,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.44 : 6,816.93 = 4,024.75 : x
  2. Step 2: Convert to fraction form
    4,541.44/6,816.93 = 4,024.75/x
  3. Step 3: Cross multiply
    4,541.44x = 6,816.93 × 4,024.75
  4. Step 4: Simplify right side
    4,541.44x = 27,436,439.02
  5. Step 5: Solve for x
    x = 27,436,439.02/4,541.44
  6. Step 6: Final answer
    x = 6,041.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.