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Finding the Fourth Proportional to 6,057.07, 9,091.07 and 2,549.67

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Solution

The fourth proportional to 6,057.07, 9,091.07 and 2,549.67 is: 3,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.07 : 9,091.07 = 2,549.67 : x
  2. Step 2: Convert to fraction form
    6,057.07/9,091.07 = 2,549.67/x
  3. Step 3: Cross multiply
    6,057.07x = 9,091.07 × 2,549.67
  4. Step 4: Simplify right side
    6,057.07x = 23,179,191.17
  5. Step 5: Solve for x
    x = 23,179,191.17/6,057.07
  6. Step 6: Final answer
    x = 3,826.80

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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.