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Finding the Fourth Proportional to 3,529.87, 5,293.53 and 1,063.92

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Solution

The fourth proportional to 3,529.87, 5,293.53 and 1,063.92 is: 1,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.87 : 5,293.53 = 1,063.92 : x
  2. Step 2: Convert to fraction form
    3,529.87/5,293.53 = 1,063.92/x
  3. Step 3: Cross multiply
    3,529.87x = 5,293.53 × 1,063.92
  4. Step 4: Simplify right side
    3,529.87x = 5,631,892.44
  5. Step 5: Solve for x
    x = 5,631,892.44/3,529.87
  6. Step 6: Final answer
    x = 1,595.50

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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.