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Finding the Fourth Proportional to 3,782.99, 5,673.56 and 1,185.93

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Solution

The fourth proportional to 3,782.99, 5,673.56 and 1,185.93 is: 1,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.99 : 5,673.56 = 1,185.93 : x
  2. Step 2: Convert to fraction form
    3,782.99/5,673.56 = 1,185.93/x
  3. Step 3: Cross multiply
    3,782.99x = 5,673.56 × 1,185.93
  4. Step 4: Simplify right side
    3,782.99x = 6,728,445.01
  5. Step 5: Solve for x
    x = 6,728,445.01/3,782.99
  6. Step 6: Final answer
    x = 1,778.61

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1.5x scale

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.