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Finding the Fourth Proportional to 3,976.65, 5,492.94 and 3,026.67

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Solution

The fourth proportional to 3,976.65, 5,492.94 and 3,026.67 is: 4,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.65 : 5,492.94 = 3,026.67 : x
  2. Step 2: Convert to fraction form
    3,976.65/5,492.94 = 3,026.67/x
  3. Step 3: Cross multiply
    3,976.65x = 5,492.94 × 3,026.67
  4. Step 4: Simplify right side
    3,976.65x = 16,625,274.11
  5. Step 5: Solve for x
    x = 16,625,274.11/3,976.65
  6. Step 6: Final answer
    x = 4,180.73

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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.