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Finding the Fourth Proportional to 5,137.64, 7,706.50 and 1,674.90

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Solution

The fourth proportional to 5,137.64, 7,706.50 and 1,674.90 is: 2,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.64 : 7,706.50 = 1,674.90 : x
  2. Step 2: Convert to fraction form
    5,137.64/7,706.50 = 1,674.90/x
  3. Step 3: Cross multiply
    5,137.64x = 7,706.50 × 1,674.90
  4. Step 4: Simplify right side
    5,137.64x = 12,907,616.85
  5. Step 5: Solve for x
    x = 12,907,616.85/5,137.64
  6. Step 6: Final answer
    x = 2,512.36

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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.