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Finding the Fourth Proportional to 5,531.24, 7,628.10 and 3,665

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Solution

The fourth proportional to 5,531.24, 7,628.10 and 3,665 is: 5,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.24 : 7,628.10 = 3,665 : x
  2. Step 2: Convert to fraction form
    5,531.24/7,628.10 = 3,665/x
  3. Step 3: Cross multiply
    5,531.24x = 7,628.10 × 3,665
  4. Step 4: Simplify right side
    5,531.24x = 27,956,986.50
  5. Step 5: Solve for x
    x = 27,956,986.50/5,531.24
  6. Step 6: Final answer
    x = 5,054.38

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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.