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Finding the Fourth Proportional to 3,502.37, 4,833.05 and 1,930.47

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Solution

The fourth proportional to 3,502.37, 4,833.05 and 1,930.47 is: 2,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.37 : 4,833.05 = 1,930.47 : x
  2. Step 2: Convert to fraction form
    3,502.37/4,833.05 = 1,930.47/x
  3. Step 3: Cross multiply
    3,502.37x = 4,833.05 × 1,930.47
  4. Step 4: Simplify right side
    3,502.37x = 9,330,048.38
  5. Step 5: Solve for x
    x = 9,330,048.38/3,502.37
  6. Step 6: Final answer
    x = 2,663.93

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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.