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Finding the Fourth Proportional to 6,508.31, 8,976.84 and 4,492.49

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Solution

The fourth proportional to 6,508.31, 8,976.84 and 4,492.49 is: 6,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.31 : 8,976.84 = 4,492.49 : x
  2. Step 2: Convert to fraction form
    6,508.31/8,976.84 = 4,492.49/x
  3. Step 3: Cross multiply
    6,508.31x = 8,976.84 × 4,492.49
  4. Step 4: Simplify right side
    6,508.31x = 40,328,363.93
  5. Step 5: Solve for x
    x = 40,328,363.93/6,508.31
  6. Step 6: Final answer
    x = 6,196.44

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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.