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Finding the Fourth Proportional to 4,701.69, 7,057.13 and 2,238.21

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Solution

The fourth proportional to 4,701.69, 7,057.13 and 2,238.21 is: 3,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.69 : 7,057.13 = 2,238.21 : x
  2. Step 2: Convert to fraction form
    4,701.69/7,057.13 = 2,238.21/x
  3. Step 3: Cross multiply
    4,701.69x = 7,057.13 × 2,238.21
  4. Step 4: Simplify right side
    4,701.69x = 15,795,327.75
  5. Step 5: Solve for x
    x = 15,795,327.75/4,701.69
  6. Step 6: Final answer
    x = 3,359.50

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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.