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Finding the Fourth Proportional to 6,178.97, 8,525.21 and 3,788.16

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Solution

The fourth proportional to 6,178.97, 8,525.21 and 3,788.16 is: 5,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.97 : 8,525.21 = 3,788.16 : x
  2. Step 2: Convert to fraction form
    6,178.97/8,525.21 = 3,788.16/x
  3. Step 3: Cross multiply
    6,178.97x = 8,525.21 × 3,788.16
  4. Step 4: Simplify right side
    6,178.97x = 32,294,859.51
  5. Step 5: Solve for x
    x = 32,294,859.51/6,178.97
  6. Step 6: Final answer
    x = 5,226.58

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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.