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Finding the Fourth Proportional to 5,986.16, 8,980.54 and 1,826.06

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Solution

The fourth proportional to 5,986.16, 8,980.54 and 1,826.06 is: 2,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.16 : 8,980.54 = 1,826.06 : x
  2. Step 2: Convert to fraction form
    5,986.16/8,980.54 = 1,826.06/x
  3. Step 3: Cross multiply
    5,986.16x = 8,980.54 × 1,826.06
  4. Step 4: Simplify right side
    5,986.16x = 16,399,022.76
  5. Step 5: Solve for x
    x = 16,399,022.76/5,986.16
  6. Step 6: Final answer
    x = 2,739.49

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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.