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Finding the Fourth Proportional to 5,462.10, 7,538.06 and 3,104.39

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Solution

The fourth proportional to 5,462.10, 7,538.06 and 3,104.39 is: 4,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.10 : 7,538.06 = 3,104.39 : x
  2. Step 2: Convert to fraction form
    5,462.10/7,538.06 = 3,104.39/x
  3. Step 3: Cross multiply
    5,462.10x = 7,538.06 × 3,104.39
  4. Step 4: Simplify right side
    5,462.10x = 23,401,104.69
  5. Step 5: Solve for x
    x = 23,401,104.69/5,462.10
  6. Step 6: Final answer
    x = 4,284.27

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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.