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Finding the Fourth Proportional to 3,532.20, 5,300.46 and 1,453.20

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Solution

The fourth proportional to 3,532.20, 5,300.46 and 1,453.20 is: 2,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.20 : 5,300.46 = 1,453.20 : x
  2. Step 2: Convert to fraction form
    3,532.20/5,300.46 = 1,453.20/x
  3. Step 3: Cross multiply
    3,532.20x = 5,300.46 × 1,453.20
  4. Step 4: Simplify right side
    3,532.20x = 7,702,628.47
  5. Step 5: Solve for x
    x = 7,702,628.47/3,532.20
  6. Step 6: Final answer
    x = 2,180.69

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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.