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Finding the Fourth Proportional to 5,259.96, 7,259.13 and 3,022.38

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Solution

The fourth proportional to 5,259.96, 7,259.13 and 3,022.38 is: 4,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.96 : 7,259.13 = 3,022.38 : x
  2. Step 2: Convert to fraction form
    5,259.96/7,259.13 = 3,022.38/x
  3. Step 3: Cross multiply
    5,259.96x = 7,259.13 × 3,022.38
  4. Step 4: Simplify right side
    5,259.96x = 21,939,849.33
  5. Step 5: Solve for x
    x = 21,939,849.33/5,259.96
  6. Step 6: Final answer
    x = 4,171.11

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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.