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Finding the Fourth Proportional to 3,998.56, 5,995.04 and 1,776.16

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Solution

The fourth proportional to 3,998.56, 5,995.04 and 1,776.16 is: 2,663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.56 : 5,995.04 = 1,776.16 : x
  2. Step 2: Convert to fraction form
    3,998.56/5,995.04 = 1,776.16/x
  3. Step 3: Cross multiply
    3,998.56x = 5,995.04 × 1,776.16
  4. Step 4: Simplify right side
    3,998.56x = 10,648,150.25
  5. Step 5: Solve for x
    x = 10,648,150.25/3,998.56
  6. Step 6: Final answer
    x = 2,663.00

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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.