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Finding the Fourth Proportional to 6,725.52, 9,281.24 and 3,741.38

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Solution

The fourth proportional to 6,725.52, 9,281.24 and 3,741.38 is: 5,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.52 : 9,281.24 = 3,741.38 : x
  2. Step 2: Convert to fraction form
    6,725.52/9,281.24 = 3,741.38/x
  3. Step 3: Cross multiply
    6,725.52x = 9,281.24 × 3,741.38
  4. Step 4: Simplify right side
    6,725.52x = 34,724,580.60
  5. Step 5: Solve for x
    x = 34,724,580.60/6,725.52
  6. Step 6: Final answer
    x = 5,163.11

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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.