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Finding the Fourth Proportional to 5,673.39, 7,828.56 and 3,578.73

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Solution

The fourth proportional to 5,673.39, 7,828.56 and 3,578.73 is: 4,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.39 : 7,828.56 = 3,578.73 : x
  2. Step 2: Convert to fraction form
    5,673.39/7,828.56 = 3,578.73/x
  3. Step 3: Cross multiply
    5,673.39x = 7,828.56 × 3,578.73
  4. Step 4: Simplify right side
    5,673.39x = 28,016,302.53
  5. Step 5: Solve for x
    x = 28,016,302.53/5,673.39
  6. Step 6: Final answer
    x = 4,938.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.