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Finding the Fourth Proportional to 6,177.74, 8,525.20 and 3,525.20

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Solution

The fourth proportional to 6,177.74, 8,525.20 and 3,525.20 is: 4,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.74 : 8,525.20 = 3,525.20 : x
  2. Step 2: Convert to fraction form
    6,177.74/8,525.20 = 3,525.20/x
  3. Step 3: Cross multiply
    6,177.74x = 8,525.20 × 3,525.20
  4. Step 4: Simplify right side
    6,177.74x = 30,053,035.04
  5. Step 5: Solve for x
    x = 30,053,035.04/6,177.74
  6. Step 6: Final answer
    x = 4,864.73

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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.