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Finding the Fourth Proportional to 3,855.16, 5,781.78 and 1,514.08

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Solution

The fourth proportional to 3,855.16, 5,781.78 and 1,514.08 is: 2,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.16 : 5,781.78 = 1,514.08 : x
  2. Step 2: Convert to fraction form
    3,855.16/5,781.78 = 1,514.08/x
  3. Step 3: Cross multiply
    3,855.16x = 5,781.78 × 1,514.08
  4. Step 4: Simplify right side
    3,855.16x = 8,754,077.46
  5. Step 5: Solve for x
    x = 8,754,077.46/3,855.16
  6. Step 6: Final answer
    x = 2,270.74

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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.