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Finding the Fourth Proportional to 3,514.68, 5,274.03 and 1,323.32

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Solution

The fourth proportional to 3,514.68, 5,274.03 and 1,323.32 is: 1,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.68 : 5,274.03 = 1,323.32 : x
  2. Step 2: Convert to fraction form
    3,514.68/5,274.03 = 1,323.32/x
  3. Step 3: Cross multiply
    3,514.68x = 5,274.03 × 1,323.32
  4. Step 4: Simplify right side
    3,514.68x = 6,979,203.01
  5. Step 5: Solve for x
    x = 6,979,203.01/3,514.68
  6. Step 6: Final answer
    x = 1,985.73

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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.