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Finding the Fourth Proportional to 6,177.66, 8,525.52 and 3,661.26

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Solution

The fourth proportional to 6,177.66, 8,525.52 and 3,661.26 is: 5,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.66 : 8,525.52 = 3,661.26 : x
  2. Step 2: Convert to fraction form
    6,177.66/8,525.52 = 3,661.26/x
  3. Step 3: Cross multiply
    6,177.66x = 8,525.52 × 3,661.26
  4. Step 4: Simplify right side
    6,177.66x = 31,214,145.36
  5. Step 5: Solve for x
    x = 31,214,145.36/6,177.66
  6. Step 6: Final answer
    x = 5,052.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.