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Finding the Fourth Proportional to 6,392, 8,823.60 and 4,238.48

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Solution

The fourth proportional to 6,392, 8,823.60 and 4,238.48 is: 5,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392 : 8,823.60 = 4,238.48 : x
  2. Step 2: Convert to fraction form
    6,392/8,823.60 = 4,238.48/x
  3. Step 3: Cross multiply
    6,392x = 8,823.60 × 4,238.48
  4. Step 4: Simplify right side
    6,392x = 37,398,652.13
  5. Step 5: Solve for x
    x = 37,398,652.13/6,392
  6. Step 6: Final answer
    x = 5,850.85

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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.