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Finding the Fourth Proportional to 6,129.50, 9,182.64 and 3,623.18

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Solution

The fourth proportional to 6,129.50, 9,182.64 and 3,623.18 is: 5,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.50 : 9,182.64 = 3,623.18 : x
  2. Step 2: Convert to fraction form
    6,129.50/9,182.64 = 3,623.18/x
  3. Step 3: Cross multiply
    6,129.50x = 9,182.64 × 3,623.18
  4. Step 4: Simplify right side
    6,129.50x = 33,270,357.60
  5. Step 5: Solve for x
    x = 33,270,357.60/6,129.50
  6. Step 6: Final answer
    x = 5,427.91

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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.