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Finding the Fourth Proportional to 5,809.68, 8,017.37 and 3,292.25

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Solution

The fourth proportional to 5,809.68, 8,017.37 and 3,292.25 is: 4,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.68 : 8,017.37 = 3,292.25 : x
  2. Step 2: Convert to fraction form
    5,809.68/8,017.37 = 3,292.25/x
  3. Step 3: Cross multiply
    5,809.68x = 8,017.37 × 3,292.25
  4. Step 4: Simplify right side
    5,809.68x = 26,395,186.38
  5. Step 5: Solve for x
    x = 26,395,186.38/5,809.68
  6. Step 6: Final answer
    x = 4,543.31

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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.