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Finding the Fourth Proportional to 3,176.36, 4,384.31 and 1,917.22

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Solution

The fourth proportional to 3,176.36, 4,384.31 and 1,917.22 is: 2,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.36 : 4,384.31 = 1,917.22 : x
  2. Step 2: Convert to fraction form
    3,176.36/4,384.31 = 1,917.22/x
  3. Step 3: Cross multiply
    3,176.36x = 4,384.31 × 1,917.22
  4. Step 4: Simplify right side
    3,176.36x = 8,405,685.28
  5. Step 5: Solve for x
    x = 8,405,685.28/3,176.36
  6. Step 6: Final answer
    x = 2,646.32

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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.