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Finding the Fourth Proportional to 4,703.72, 7,057.28 and 1,782

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Solution

The fourth proportional to 4,703.72, 7,057.28 and 1,782 is: 2,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.72 : 7,057.28 = 1,782 : x
  2. Step 2: Convert to fraction form
    4,703.72/7,057.28 = 1,782/x
  3. Step 3: Cross multiply
    4,703.72x = 7,057.28 × 1,782
  4. Step 4: Simplify right side
    4,703.72x = 12,576,067.39
  5. Step 5: Solve for x
    x = 12,576,067.39/4,703.72
  6. Step 6: Final answer
    x = 2,673.64

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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.