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Finding the Fourth Proportional to 5,513.41, 7,604.31 and 3,834.82

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Solution

The fourth proportional to 5,513.41, 7,604.31 and 3,834.82 is: 5,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.41 : 7,604.31 = 3,834.82 : x
  2. Step 2: Convert to fraction form
    5,513.41/7,604.31 = 3,834.82/x
  3. Step 3: Cross multiply
    5,513.41x = 7,604.31 × 3,834.82
  4. Step 4: Simplify right side
    5,513.41x = 29,161,160.07
  5. Step 5: Solve for x
    x = 29,161,160.07/5,513.41
  6. Step 6: Final answer
    x = 5,289.13

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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.