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Finding the Fourth Proportional to 4,504.26, 6,739.95 and 2,656.26

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Solution

The fourth proportional to 4,504.26, 6,739.95 and 2,656.26 is: 3,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,504.26 : 6,739.95 = 2,656.26 : x
  2. Step 2: Convert to fraction form
    4,504.26/6,739.95 = 2,656.26/x
  3. Step 3: Cross multiply
    4,504.26x = 6,739.95 × 2,656.26
  4. Step 4: Simplify right side
    4,504.26x = 17,903,059.59
  5. Step 5: Solve for x
    x = 17,903,059.59/4,504.26
  6. Step 6: Final answer
    x = 3,974.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.