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Finding the Fourth Proportional to 3,532.98, 5,298.57 and 1,453.56

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Solution

The fourth proportional to 3,532.98, 5,298.57 and 1,453.56 is: 2,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.98 : 5,298.57 = 1,453.56 : x
  2. Step 2: Convert to fraction form
    3,532.98/5,298.57 = 1,453.56/x
  3. Step 3: Cross multiply
    3,532.98x = 5,298.57 × 1,453.56
  4. Step 4: Simplify right side
    3,532.98x = 7,701,789.41
  5. Step 5: Solve for x
    x = 7,701,789.41/3,532.98
  6. Step 6: Final answer
    x = 2,179.97

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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.