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Finding the Fourth Proportional to 5,415.85, 7,480.01 and 3,644.38

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Solution

The fourth proportional to 5,415.85, 7,480.01 and 3,644.38 is: 5,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.85 : 7,480.01 = 3,644.38 : x
  2. Step 2: Convert to fraction form
    5,415.85/7,480.01 = 3,644.38/x
  3. Step 3: Cross multiply
    5,415.85x = 7,480.01 × 3,644.38
  4. Step 4: Simplify right side
    5,415.85x = 27,259,943.22
  5. Step 5: Solve for x
    x = 27,259,943.22/5,415.85
  6. Step 6: Final answer
    x = 5,033.37

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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.