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Finding the Fourth Proportional to 4,484.72, 6,728.10 and 1,711.33

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Solution

The fourth proportional to 4,484.72, 6,728.10 and 1,711.33 is: 2,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.72 : 6,728.10 = 1,711.33 : x
  2. Step 2: Convert to fraction form
    4,484.72/6,728.10 = 1,711.33/x
  3. Step 3: Cross multiply
    4,484.72x = 6,728.10 × 1,711.33
  4. Step 4: Simplify right side
    4,484.72x = 11,513,983.35
  5. Step 5: Solve for x
    x = 11,513,983.35/4,484.72
  6. Step 6: Final answer
    x = 2,567.38

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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.