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Finding the Fourth Proportional to 4,703.82, 7,054.11 and 1,782.96

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Solution

The fourth proportional to 4,703.82, 7,054.11 and 1,782.96 is: 2,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.82 : 7,054.11 = 1,782.96 : x
  2. Step 2: Convert to fraction form
    4,703.82/7,054.11 = 1,782.96/x
  3. Step 3: Cross multiply
    4,703.82x = 7,054.11 × 1,782.96
  4. Step 4: Simplify right side
    4,703.82x = 12,577,195.97
  5. Step 5: Solve for x
    x = 12,577,195.97/4,703.82
  6. Step 6: Final answer
    x = 2,673.83

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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.