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Finding the Fourth Proportional to 4,416.92, 6,623.64 and 1,950

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Solution

The fourth proportional to 4,416.92, 6,623.64 and 1,950 is: 2,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416.92 : 6,623.64 = 1,950 : x
  2. Step 2: Convert to fraction form
    4,416.92/6,623.64 = 1,950/x
  3. Step 3: Cross multiply
    4,416.92x = 6,623.64 × 1,950
  4. Step 4: Simplify right side
    4,416.92x = 12,916,098
  5. Step 5: Solve for x
    x = 12,916,098/4,416.92
  6. Step 6: Final answer
    x = 2,924.23

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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.