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Finding the Fourth Proportional to 3,529.94, 5,295.71 and 1,189.76

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Solution

The fourth proportional to 3,529.94, 5,295.71 and 1,189.76 is: 1,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.94 : 5,295.71 = 1,189.76 : x
  2. Step 2: Convert to fraction form
    3,529.94/5,295.71 = 1,189.76/x
  3. Step 3: Cross multiply
    3,529.94x = 5,295.71 × 1,189.76
  4. Step 4: Simplify right side
    3,529.94x = 6,300,600.43
  5. Step 5: Solve for x
    x = 6,300,600.43/3,529.94
  6. Step 6: Final answer
    x = 1,784.91

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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.