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Finding the Fourth Proportional to 6,492.29, 8,960.03 and 3,976.07

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Solution

The fourth proportional to 6,492.29, 8,960.03 and 3,976.07 is: 5,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.29 : 8,960.03 = 3,976.07 : x
  2. Step 2: Convert to fraction form
    6,492.29/8,960.03 = 3,976.07/x
  3. Step 3: Cross multiply
    6,492.29x = 8,960.03 × 3,976.07
  4. Step 4: Simplify right side
    6,492.29x = 35,625,641.80
  5. Step 5: Solve for x
    x = 35,625,641.80/6,492.29
  6. Step 6: Final answer
    x = 5,487.38

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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.