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Finding the Fourth Proportional to 3,538.58, 5,305.84 and 3,138.84

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Solution

The fourth proportional to 3,538.58, 5,305.84 and 3,138.84 is: 4,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.58 : 5,305.84 = 3,138.84 : x
  2. Step 2: Convert to fraction form
    3,538.58/5,305.84 = 3,138.84/x
  3. Step 3: Cross multiply
    3,538.58x = 5,305.84 × 3,138.84
  4. Step 4: Simplify right side
    3,538.58x = 16,654,174.98
  5. Step 5: Solve for x
    x = 16,654,174.98/3,538.58
  6. Step 6: Final answer
    x = 4,706.46

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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.