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Finding the Fourth Proportional to 5,137.80, 7,713.32 and 2,674.32

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Solution

The fourth proportional to 5,137.80, 7,713.32 and 2,674.32 is: 4,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.80 : 7,713.32 = 2,674.32 : x
  2. Step 2: Convert to fraction form
    5,137.80/7,713.32 = 2,674.32/x
  3. Step 3: Cross multiply
    5,137.80x = 7,713.32 × 2,674.32
  4. Step 4: Simplify right side
    5,137.80x = 20,627,885.94
  5. Step 5: Solve for x
    x = 20,627,885.94/5,137.80
  6. Step 6: Final answer
    x = 4,014.93

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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.