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Finding the Fourth Proportional to 3,769.32, 5,652.06 and 1,460.20

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Solution

The fourth proportional to 3,769.32, 5,652.06 and 1,460.20 is: 2,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.32 : 5,652.06 = 1,460.20 : x
  2. Step 2: Convert to fraction form
    3,769.32/5,652.06 = 1,460.20/x
  3. Step 3: Cross multiply
    3,769.32x = 5,652.06 × 1,460.20
  4. Step 4: Simplify right side
    3,769.32x = 8,253,138.01
  5. Step 5: Solve for x
    x = 8,253,138.01/3,769.32
  6. Step 6: Final answer
    x = 2,189.56

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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.