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Finding the Fourth Proportional to 5,109.38, 7,049.73 and 2,985.26

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Solution

The fourth proportional to 5,109.38, 7,049.73 and 2,985.26 is: 4,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.38 : 7,049.73 = 2,985.26 : x
  2. Step 2: Convert to fraction form
    5,109.38/7,049.73 = 2,985.26/x
  3. Step 3: Cross multiply
    5,109.38x = 7,049.73 × 2,985.26
  4. Step 4: Simplify right side
    5,109.38x = 21,045,252.93
  5. Step 5: Solve for x
    x = 21,045,252.93/5,109.38
  6. Step 6: Final answer
    x = 4,118.95

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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.