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Finding the Fourth Proportional to 3,823.47, 5,709.32 and 3,034.62

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Solution

The fourth proportional to 3,823.47, 5,709.32 and 3,034.62 is: 4,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.47 : 5,709.32 = 3,034.62 : x
  2. Step 2: Convert to fraction form
    3,823.47/5,709.32 = 3,034.62/x
  3. Step 3: Cross multiply
    3,823.47x = 5,709.32 × 3,034.62
  4. Step 4: Simplify right side
    3,823.47x = 17,325,629.93
  5. Step 5: Solve for x
    x = 17,325,629.93/3,823.47
  6. Step 6: Final answer
    x = 4,531.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.