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Finding the Fourth Proportional to 3,444.33, 5,164.61 and 1,594.43

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Solution

The fourth proportional to 3,444.33, 5,164.61 and 1,594.43 is: 2,390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.33 : 5,164.61 = 1,594.43 : x
  2. Step 2: Convert to fraction form
    3,444.33/5,164.61 = 1,594.43/x
  3. Step 3: Cross multiply
    3,444.33x = 5,164.61 × 1,594.43
  4. Step 4: Simplify right side
    3,444.33x = 8,234,575.33
  5. Step 5: Solve for x
    x = 8,234,575.33/3,444.33
  6. Step 6: Final answer
    x = 2,390.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.