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Finding the Fourth Proportional to 4,896.32, 7,344.61 and 1,433.57

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Solution

The fourth proportional to 4,896.32, 7,344.61 and 1,433.57 is: 2,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.32 : 7,344.61 = 1,433.57 : x
  2. Step 2: Convert to fraction form
    4,896.32/7,344.61 = 1,433.57/x
  3. Step 3: Cross multiply
    4,896.32x = 7,344.61 × 1,433.57
  4. Step 4: Simplify right side
    4,896.32x = 10,528,972.25
  5. Step 5: Solve for x
    x = 10,528,972.25/4,896.32
  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.