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Finding the Fourth Proportional to 3,624.32, 5,434.24 and 1,675.44

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Solution

The fourth proportional to 3,624.32, 5,434.24 and 1,675.44 is: 2,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.32 : 5,434.24 = 1,675.44 : x
  2. Step 2: Convert to fraction form
    3,624.32/5,434.24 = 1,675.44/x
  3. Step 3: Cross multiply
    3,624.32x = 5,434.24 × 1,675.44
  4. Step 4: Simplify right side
    3,624.32x = 9,104,743.07
  5. Step 5: Solve for x
    x = 9,104,743.07/3,624.32
  6. Step 6: Final answer
    x = 2,512.12

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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.