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Finding the Fourth Proportional to 5,447.37, 7,517.13 and 3,024.59

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Solution

The fourth proportional to 5,447.37, 7,517.13 and 3,024.59 is: 4,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.37 : 7,517.13 = 3,024.59 : x
  2. Step 2: Convert to fraction form
    5,447.37/7,517.13 = 3,024.59/x
  3. Step 3: Cross multiply
    5,447.37x = 7,517.13 × 3,024.59
  4. Step 4: Simplify right side
    5,447.37x = 22,736,219.38
  5. Step 5: Solve for x
    x = 22,736,219.38/5,447.37
  6. Step 6: Final answer
    x = 4,173.80

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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.