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Finding the Fourth Proportional to 3,782.52, 5,673.42 and 1,184.04

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Solution

The fourth proportional to 3,782.52, 5,673.42 and 1,184.04 is: 1,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.52 : 5,673.42 = 1,184.04 : x
  2. Step 2: Convert to fraction form
    3,782.52/5,673.42 = 1,184.04/x
  3. Step 3: Cross multiply
    3,782.52x = 5,673.42 × 1,184.04
  4. Step 4: Simplify right side
    3,782.52x = 6,717,556.22
  5. Step 5: Solve for x
    x = 6,717,556.22/3,782.52
  6. Step 6: Final answer
    x = 1,775.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.