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Finding the Fourth Proportional to 3,707.44, 5,116.37 and 2,135.63

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Solution

The fourth proportional to 3,707.44, 5,116.37 and 2,135.63 is: 2,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.44 : 5,116.37 = 2,135.63 : x
  2. Step 2: Convert to fraction form
    3,707.44/5,116.37 = 2,135.63/x
  3. Step 3: Cross multiply
    3,707.44x = 5,116.37 × 2,135.63
  4. Step 4: Simplify right side
    3,707.44x = 10,926,675.38
  5. Step 5: Solve for x
    x = 10,926,675.38/3,707.44
  6. Step 6: Final answer
    x = 2,947.23

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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.