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Finding the Fourth Proportional to 6,057.59, 9,087.29 and 2,161.69

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Solution

The fourth proportional to 6,057.59, 9,087.29 and 2,161.69 is: 3,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.59 : 9,087.29 = 2,161.69 : x
  2. Step 2: Convert to fraction form
    6,057.59/9,087.29 = 2,161.69/x
  3. Step 3: Cross multiply
    6,057.59x = 9,087.29 × 2,161.69
  4. Step 4: Simplify right side
    6,057.59x = 19,643,878.50
  5. Step 5: Solve for x
    x = 19,643,878.50/6,057.59
  6. Step 6: Final answer
    x = 3,242.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.