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Finding the Fourth Proportional to 3,514.16, 5,270.02 and 1,956.54

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Solution

The fourth proportional to 3,514.16, 5,270.02 and 1,956.54 is: 2,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.16 : 5,270.02 = 1,956.54 : x
  2. Step 2: Convert to fraction form
    3,514.16/5,270.02 = 1,956.54/x
  3. Step 3: Cross multiply
    3,514.16x = 5,270.02 × 1,956.54
  4. Step 4: Simplify right side
    3,514.16x = 10,311,004.93
  5. Step 5: Solve for x
    x = 10,311,004.93/3,514.16
  6. Step 6: Final answer
    x = 2,934.13

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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.