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Finding the Fourth Proportional to 3,505.38, 4,837.22 and 1,933.47

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Solution

The fourth proportional to 3,505.38, 4,837.22 and 1,933.47 is: 2,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.38 : 4,837.22 = 1,933.47 : x
  2. Step 2: Convert to fraction form
    3,505.38/4,837.22 = 1,933.47/x
  3. Step 3: Cross multiply
    3,505.38x = 4,837.22 × 1,933.47
  4. Step 4: Simplify right side
    3,505.38x = 9,352,617.34
  5. Step 5: Solve for x
    x = 9,352,617.34/3,505.38
  6. Step 6: Final answer
    x = 2,668.08

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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.