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Finding the Fourth Proportional to 3,621.57, 5,430.42 and 1,769.01

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Solution

The fourth proportional to 3,621.57, 5,430.42 and 1,769.01 is: 2,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621.57 : 5,430.42 = 1,769.01 : x
  2. Step 2: Convert to fraction form
    3,621.57/5,430.42 = 1,769.01/x
  3. Step 3: Cross multiply
    3,621.57x = 5,430.42 × 1,769.01
  4. Step 4: Simplify right side
    3,621.57x = 9,606,467.28
  5. Step 5: Solve for x
    x = 9,606,467.28/3,621.57
  6. Step 6: Final answer
    x = 2,652.57

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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.