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Finding the Fourth Proportional to 3,703, 5,110.14 and 2,047

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Solution

The fourth proportional to 3,703, 5,110.14 and 2,047 is: 2,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703 : 5,110.14 = 2,047 : x
  2. Step 2: Convert to fraction form
    3,703/5,110.14 = 2,047/x
  3. Step 3: Cross multiply
    3,703x = 5,110.14 × 2,047
  4. Step 4: Simplify right side
    3,703x = 10,460,456.58
  5. Step 5: Solve for x
    x = 10,460,456.58/3,703
  6. Step 6: Final answer
    x = 2,824.86

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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.