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Finding the Fourth Proportional to 4,188.44, 5,780.25 and 2,325.44

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Solution

The fourth proportional to 4,188.44, 5,780.25 and 2,325.44 is: 3,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.44 : 5,780.25 = 2,325.44 : x
  2. Step 2: Convert to fraction form
    4,188.44/5,780.25 = 2,325.44/x
  3. Step 3: Cross multiply
    4,188.44x = 5,780.25 × 2,325.44
  4. Step 4: Simplify right side
    4,188.44x = 13,441,624.56
  5. Step 5: Solve for x
    x = 13,441,624.56/4,188.44
  6. Step 6: Final answer
    x = 3,209.22

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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.