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Finding the Fourth Proportional to 3,853.68, 5,780.52 and 2,003.84

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Solution

The fourth proportional to 3,853.68, 5,780.52 and 2,003.84 is: 3,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.68 : 5,780.52 = 2,003.84 : x
  2. Step 2: Convert to fraction form
    3,853.68/5,780.52 = 2,003.84/x
  3. Step 3: Cross multiply
    3,853.68x = 5,780.52 × 2,003.84
  4. Step 4: Simplify right side
    3,853.68x = 11,583,237.20
  5. Step 5: Solve for x
    x = 11,583,237.20/3,853.68
  6. Step 6: Final answer
    x = 3,005.76

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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.