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Finding the Fourth Proportional to 5,608.94, 7,743.31 and 4,347.16

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Solution

The fourth proportional to 5,608.94, 7,743.31 and 4,347.16 is: 6,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.94 : 7,743.31 = 4,347.16 : x
  2. Step 2: Convert to fraction form
    5,608.94/7,743.31 = 4,347.16/x
  3. Step 3: Cross multiply
    5,608.94x = 7,743.31 × 4,347.16
  4. Step 4: Simplify right side
    5,608.94x = 33,661,377.27
  5. Step 5: Solve for x
    x = 33,661,377.27/5,608.94
  6. Step 6: Final answer
    x = 6,001.38

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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.