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Finding the Fourth Proportional to 6,324.94, 8,728.36 and 3,492.31

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Solution

The fourth proportional to 6,324.94, 8,728.36 and 3,492.31 is: 4,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.94 : 8,728.36 = 3,492.31 : x
  2. Step 2: Convert to fraction form
    6,324.94/8,728.36 = 3,492.31/x
  3. Step 3: Cross multiply
    6,324.94x = 8,728.36 × 3,492.31
  4. Step 4: Simplify right side
    6,324.94x = 30,482,132.37
  5. Step 5: Solve for x
    x = 30,482,132.37/6,324.94
  6. Step 6: Final answer
    x = 4,819.36

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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.