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Finding the Fourth Proportional to 5,383.09, 8,074.62 and 1,487.49

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Solution

The fourth proportional to 5,383.09, 8,074.62 and 1,487.49 is: 2,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.09 : 8,074.62 = 1,487.49 : x
  2. Step 2: Convert to fraction form
    5,383.09/8,074.62 = 1,487.49/x
  3. Step 3: Cross multiply
    5,383.09x = 8,074.62 × 1,487.49
  4. Step 4: Simplify right side
    5,383.09x = 12,010,916.50
  5. Step 5: Solve for x
    x = 12,010,916.50/5,383.09
  6. Step 6: Final answer
    x = 2,231.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.