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Finding the Fourth Proportional to 5,424.36, 8,137.07 and 2,503.50

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Solution

The fourth proportional to 5,424.36, 8,137.07 and 2,503.50 is: 3,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.36 : 8,137.07 = 2,503.50 : x
  2. Step 2: Convert to fraction form
    5,424.36/8,137.07 = 2,503.50/x
  3. Step 3: Cross multiply
    5,424.36x = 8,137.07 × 2,503.50
  4. Step 4: Simplify right side
    5,424.36x = 20,371,154.75
  5. Step 5: Solve for x
    x = 20,371,154.75/5,424.36
  6. Step 6: Final answer
    x = 3,755.49

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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.