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Finding the Fourth Proportional to 3,876.86, 5,815.26 and 955.19

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Solution

The fourth proportional to 3,876.86, 5,815.26 and 955.19 is: 1,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.86 : 5,815.26 = 955.19 : x
  2. Step 2: Convert to fraction form
    3,876.86/5,815.26 = 955.19/x
  3. Step 3: Cross multiply
    3,876.86x = 5,815.26 × 955.19
  4. Step 4: Simplify right side
    3,876.86x = 5,554,692.74
  5. Step 5: Solve for x
    x = 5,554,692.74/3,876.86
  6. Step 6: Final answer
    x = 1,432.78

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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.