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Finding the Fourth Proportional to 6,584, 9,085.80 and 3,932

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Solution

The fourth proportional to 6,584, 9,085.80 and 3,932 is: 5,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584 : 9,085.80 = 3,932 : x
  2. Step 2: Convert to fraction form
    6,584/9,085.80 = 3,932/x
  3. Step 3: Cross multiply
    6,584x = 9,085.80 × 3,932
  4. Step 4: Simplify right side
    6,584x = 35,725,365.60
  5. Step 5: Solve for x
    x = 35,725,365.60/6,584
  6. Step 6: Final answer
    x = 5,426.09

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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.