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Finding the Fourth Proportional to 4,490.36, 6,733.92 and 1,893.50

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Solution

The fourth proportional to 4,490.36, 6,733.92 and 1,893.50 is: 2,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.36 : 6,733.92 = 1,893.50 : x
  2. Step 2: Convert to fraction form
    4,490.36/6,733.92 = 1,893.50/x
  3. Step 3: Cross multiply
    4,490.36x = 6,733.92 × 1,893.50
  4. Step 4: Simplify right side
    4,490.36x = 12,750,668.05
  5. Step 5: Solve for x
    x = 12,750,668.05/4,490.36
  6. Step 6: Final answer
    x = 2,839.56

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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.