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Finding the Fourth Proportional to 3,705.48, 5,112.72 and 2,133.24

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Solution

The fourth proportional to 3,705.48, 5,112.72 and 2,133.24 is: 2,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.48 : 5,112.72 = 2,133.24 : x
  2. Step 2: Convert to fraction form
    3,705.48/5,112.72 = 2,133.24/x
  3. Step 3: Cross multiply
    3,705.48x = 5,112.72 × 2,133.24
  4. Step 4: Simplify right side
    3,705.48x = 10,906,658.81
  5. Step 5: Solve for x
    x = 10,906,658.81/3,705.48
  6. Step 6: Final answer
    x = 2,943.39

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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.