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Finding the Fourth Proportional to 3,505.25, 4,837.80 and 2,161.65

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Solution

The fourth proportional to 3,505.25, 4,837.80 and 2,161.65 is: 2,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.25 : 4,837.80 = 2,161.65 : x
  2. Step 2: Convert to fraction form
    3,505.25/4,837.80 = 2,161.65/x
  3. Step 3: Cross multiply
    3,505.25x = 4,837.80 × 2,161.65
  4. Step 4: Simplify right side
    3,505.25x = 10,457,630.37
  5. Step 5: Solve for x
    x = 10,457,630.37/3,505.25
  6. Step 6: Final answer
    x = 2,983.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.