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Finding the Fourth Proportional to 3,502.39, 4,833.01 and 1,930.48

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Solution

The fourth proportional to 3,502.39, 4,833.01 and 1,930.48 is: 2,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.39 : 4,833.01 = 1,930.48 : x
  2. Step 2: Convert to fraction form
    3,502.39/4,833.01 = 1,930.48/x
  3. Step 3: Cross multiply
    3,502.39x = 4,833.01 × 1,930.48
  4. Step 4: Simplify right side
    3,502.39x = 9,330,029.14
  5. Step 5: Solve for x
    x = 9,330,029.14/3,502.39
  6. Step 6: Final answer
    x = 2,663.90

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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.