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Finding the Fourth Proportional to 5,057.09, 7,581.02 and 4,282.09

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Solution

The fourth proportional to 5,057.09, 7,581.02 and 4,282.09 is: 6,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.09 : 7,581.02 = 4,282.09 : x
  2. Step 2: Convert to fraction form
    5,057.09/7,581.02 = 4,282.09/x
  3. Step 3: Cross multiply
    5,057.09x = 7,581.02 × 4,282.09
  4. Step 4: Simplify right side
    5,057.09x = 32,462,550.62
  5. Step 5: Solve for x
    x = 32,462,550.62/5,057.09
  6. Step 6: Final answer
    x = 6,419.22

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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.