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Finding the Fourth Proportional to 5,842, 8,059.56 and 3,853.52

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Solution

The fourth proportional to 5,842, 8,059.56 and 3,853.52 is: 5,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842 : 8,059.56 = 3,853.52 : x
  2. Step 2: Convert to fraction form
    5,842/8,059.56 = 3,853.52/x
  3. Step 3: Cross multiply
    5,842x = 8,059.56 × 3,853.52
  4. Step 4: Simplify right side
    5,842x = 31,057,675.65
  5. Step 5: Solve for x
    x = 31,057,675.65/5,842
  6. Step 6: Final answer
    x = 5,316.27

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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.