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Finding the Fourth Proportional to 4,354.27, 6,532.23 and 1,433.41

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Solution

The fourth proportional to 4,354.27, 6,532.23 and 1,433.41 is: 2,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.27 : 6,532.23 = 1,433.41 : x
  2. Step 2: Convert to fraction form
    4,354.27/6,532.23 = 1,433.41/x
  3. Step 3: Cross multiply
    4,354.27x = 6,532.23 × 1,433.41
  4. Step 4: Simplify right side
    4,354.27x = 9,363,363.80
  5. Step 5: Solve for x
    x = 9,363,363.80/4,354.27
  6. Step 6: Final answer
    x = 2,150.39

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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.