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Finding the Fourth Proportional to 3,303.96, 4,956.36 and 1,112.23

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Solution

The fourth proportional to 3,303.96, 4,956.36 and 1,112.23 is: 1,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.96 : 4,956.36 = 1,112.23 : x
  2. Step 2: Convert to fraction form
    3,303.96/4,956.36 = 1,112.23/x
  3. Step 3: Cross multiply
    3,303.96x = 4,956.36 × 1,112.23
  4. Step 4: Simplify right side
    3,303.96x = 5,512,612.28
  5. Step 5: Solve for x
    x = 5,512,612.28/3,303.96
  6. Step 6: Final answer
    x = 1,668.49

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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.