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Finding the Fourth Proportional to 3,551.75, 5,323.75 and 1,359.53

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Solution

The fourth proportional to 3,551.75, 5,323.75 and 1,359.53 is: 2,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.75 : 5,323.75 = 1,359.53 : x
  2. Step 2: Convert to fraction form
    3,551.75/5,323.75 = 1,359.53/x
  3. Step 3: Cross multiply
    3,551.75x = 5,323.75 × 1,359.53
  4. Step 4: Simplify right side
    3,551.75x = 7,237,767.82
  5. Step 5: Solve for x
    x = 7,237,767.82/3,551.75
  6. Step 6: Final answer
    x = 2,037.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.