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Finding the Fourth Proportional to 5,342.28, 7,365.24 and 4,084.08

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Solution

The fourth proportional to 5,342.28, 7,365.24 and 4,084.08 is: 5,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.28 : 7,365.24 = 4,084.08 : x
  2. Step 2: Convert to fraction form
    5,342.28/7,365.24 = 4,084.08/x
  3. Step 3: Cross multiply
    5,342.28x = 7,365.24 × 4,084.08
  4. Step 4: Simplify right side
    5,342.28x = 30,080,229.38
  5. Step 5: Solve for x
    x = 30,080,229.38/5,342.28
  6. Step 6: Final answer
    x = 5,630.60

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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.