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Finding the Fourth Proportional to 3,529.71, 5,294.90 and 1,189.62

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Solution

The fourth proportional to 3,529.71, 5,294.90 and 1,189.62 is: 1,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.71 : 5,294.90 = 1,189.62 : x
  2. Step 2: Convert to fraction form
    3,529.71/5,294.90 = 1,189.62/x
  3. Step 3: Cross multiply
    3,529.71x = 5,294.90 × 1,189.62
  4. Step 4: Simplify right side
    3,529.71x = 6,298,921.91
  5. Step 5: Solve for x
    x = 6,298,921.91/3,529.71
  6. Step 6: Final answer
    x = 1,784.54

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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.