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Finding the Fourth Proportional to 3,414.88, 4,707.12 and 2,585.44

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Solution

The fourth proportional to 3,414.88, 4,707.12 and 2,585.44 is: 3,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.88 : 4,707.12 = 2,585.44 : x
  2. Step 2: Convert to fraction form
    3,414.88/4,707.12 = 2,585.44/x
  3. Step 3: Cross multiply
    3,414.88x = 4,707.12 × 2,585.44
  4. Step 4: Simplify right side
    3,414.88x = 12,169,976.33
  5. Step 5: Solve for x
    x = 12,169,976.33/3,414.88
  6. Step 6: Final answer
    x = 3,563.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.