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Finding the Fourth Proportional to 3,627.57, 5,437.53 and 1,433.28

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Solution

The fourth proportional to 3,627.57, 5,437.53 and 1,433.28 is: 2,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.57 : 5,437.53 = 1,433.28 : x
  2. Step 2: Convert to fraction form
    3,627.57/5,437.53 = 1,433.28/x
  3. Step 3: Cross multiply
    3,627.57x = 5,437.53 × 1,433.28
  4. Step 4: Simplify right side
    3,627.57x = 7,793,503.00
  5. Step 5: Solve for x
    x = 7,793,503.00/3,627.57
  6. Step 6: Final answer
    x = 2,148.41

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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.