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Finding the Fourth Proportional to 6,189.88, 8,542.08 and 3,395.38

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Solution

The fourth proportional to 6,189.88, 8,542.08 and 3,395.38 is: 4,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.88 : 8,542.08 = 3,395.38 : x
  2. Step 2: Convert to fraction form
    6,189.88/8,542.08 = 3,395.38/x
  3. Step 3: Cross multiply
    6,189.88x = 8,542.08 × 3,395.38
  4. Step 4: Simplify right side
    6,189.88x = 29,003,547.90
  5. Step 5: Solve for x
    x = 29,003,547.90/6,189.88
  6. Step 6: Final answer
    x = 4,685.64

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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.