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Finding the Fourth Proportional to 4,815.63, 7,224.56 and 2,042.41

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Solution

The fourth proportional to 4,815.63, 7,224.56 and 2,042.41 is: 3,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.63 : 7,224.56 = 2,042.41 : x
  2. Step 2: Convert to fraction form
    4,815.63/7,224.56 = 2,042.41/x
  3. Step 3: Cross multiply
    4,815.63x = 7,224.56 × 2,042.41
  4. Step 4: Simplify right side
    4,815.63x = 14,755,526.54
  5. Step 5: Solve for x
    x = 14,755,526.54/4,815.63
  6. Step 6: Final answer
    x = 3,064.09

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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.