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Finding the Fourth Proportional to 3,854.52, 5,780.16 and 1,514.16

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Solution

The fourth proportional to 3,854.52, 5,780.16 and 1,514.16 is: 2,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.52 : 5,780.16 = 1,514.16 : x
  2. Step 2: Convert to fraction form
    3,854.52/5,780.16 = 1,514.16/x
  3. Step 3: Cross multiply
    3,854.52x = 5,780.16 × 1,514.16
  4. Step 4: Simplify right side
    3,854.52x = 8,752,087.07
  5. Step 5: Solve for x
    x = 8,752,087.07/3,854.52
  6. Step 6: Final answer
    x = 2,270.60

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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.