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Finding the Fourth Proportional to 3,784.69, 5,224.49 and 2,543.41

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Solution

The fourth proportional to 3,784.69, 5,224.49 and 2,543.41 is: 3,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.69 : 5,224.49 = 2,543.41 : x
  2. Step 2: Convert to fraction form
    3,784.69/5,224.49 = 2,543.41/x
  3. Step 3: Cross multiply
    3,784.69x = 5,224.49 × 2,543.41
  4. Step 4: Simplify right side
    3,784.69x = 13,288,020.11
  5. Step 5: Solve for x
    x = 13,288,020.11/3,784.69
  6. Step 6: Final answer
    x = 3,510.99

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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.