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Finding the Fourth Proportional to 5,462.58, 7,539 and 3,105.08

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Solution

The fourth proportional to 5,462.58, 7,539 and 3,105.08 is: 4,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.58 : 7,539 = 3,105.08 : x
  2. Step 2: Convert to fraction form
    5,462.58/7,539 = 3,105.08/x
  3. Step 3: Cross multiply
    5,462.58x = 7,539 × 3,105.08
  4. Step 4: Simplify right side
    5,462.58x = 23,409,198.12
  5. Step 5: Solve for x
    x = 23,409,198.12/5,462.58
  6. Step 6: Final answer
    x = 4,285.37

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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.