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Finding the Fourth Proportional to 3,514.54, 5,271.20 and 1,323.29

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Solution

The fourth proportional to 3,514.54, 5,271.20 and 1,323.29 is: 1,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.54 : 5,271.20 = 1,323.29 : x
  2. Step 2: Convert to fraction form
    3,514.54/5,271.20 = 1,323.29/x
  3. Step 3: Cross multiply
    3,514.54x = 5,271.20 × 1,323.29
  4. Step 4: Simplify right side
    3,514.54x = 6,975,326.25
  5. Step 5: Solve for x
    x = 6,975,326.25/3,514.54
  6. Step 6: Final answer
    x = 1,984.71

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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.