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Finding the Fourth Proportional to 6,184.32, 8,534.82 and 3,827.82

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Solution

The fourth proportional to 6,184.32, 8,534.82 and 3,827.82 is: 5,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.32 : 8,534.82 = 3,827.82 : x
  2. Step 2: Convert to fraction form
    6,184.32/8,534.82 = 3,827.82/x
  3. Step 3: Cross multiply
    6,184.32x = 8,534.82 × 3,827.82
  4. Step 4: Simplify right side
    6,184.32x = 32,669,754.69
  5. Step 5: Solve for x
    x = 32,669,754.69/6,184.32
  6. Step 6: Final answer
    x = 5,282.68

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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.