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Finding the Fourth Proportional to 3,529.64, 5,293.74 and 1,221.80

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Solution

The fourth proportional to 3,529.64, 5,293.74 and 1,221.80 is: 1,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.64 : 5,293.74 = 1,221.80 : x
  2. Step 2: Convert to fraction form
    3,529.64/5,293.74 = 1,221.80/x
  3. Step 3: Cross multiply
    3,529.64x = 5,293.74 × 1,221.80
  4. Step 4: Simplify right side
    3,529.64x = 6,467,891.53
  5. Step 5: Solve for x
    x = 6,467,891.53/3,529.64
  6. Step 6: Final answer
    x = 1,832.45

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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.