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Finding the Fourth Proportional to 7,057.67, 10,580.22 and 2,678.20

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Solution

The fourth proportional to 7,057.67, 10,580.22 and 2,678.20 is: 4,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.67 : 10,580.22 = 2,678.20 : x
  2. Step 2: Convert to fraction form
    7,057.67/10,580.22 = 2,678.20/x
  3. Step 3: Cross multiply
    7,057.67x = 10,580.22 × 2,678.20
  4. Step 4: Simplify right side
    7,057.67x = 28,335,918.75
  5. Step 5: Solve for x
    x = 28,335,918.75/7,057.67
  6. Step 6: Final answer
    x = 4,014.91

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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.