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Finding the Fourth Proportional to 6,178.12, 8,525.54 and 3,820.52

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Solution

The fourth proportional to 6,178.12, 8,525.54 and 3,820.52 is: 5,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.12 : 8,525.54 = 3,820.52 : x
  2. Step 2: Convert to fraction form
    6,178.12/8,525.54 = 3,820.52/x
  3. Step 3: Cross multiply
    6,178.12x = 8,525.54 × 3,820.52
  4. Step 4: Simplify right side
    6,178.12x = 32,571,996.08
  5. Step 5: Solve for x
    x = 32,571,996.08/6,178.12
  6. Step 6: Final answer
    x = 5,272.15

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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.