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Finding the Fourth Proportional to 4,541.88, 6,812.63 and 1,581

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Solution

The fourth proportional to 4,541.88, 6,812.63 and 1,581 is: 2,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.88 : 6,812.63 = 1,581 : x
  2. Step 2: Convert to fraction form
    4,541.88/6,812.63 = 1,581/x
  3. Step 3: Cross multiply
    4,541.88x = 6,812.63 × 1,581
  4. Step 4: Simplify right side
    4,541.88x = 10,770,771.98
  5. Step 5: Solve for x
    x = 10,770,771.98/4,541.88
  6. Step 6: Final answer
    x = 2,371.43

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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.