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Finding the Fourth Proportional to 6,141.16, 8,474.84 and 3,346.66

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Solution

The fourth proportional to 6,141.16, 8,474.84 and 3,346.66 is: 4,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.16 : 8,474.84 = 3,346.66 : x
  2. Step 2: Convert to fraction form
    6,141.16/8,474.84 = 3,346.66/x
  3. Step 3: Cross multiply
    6,141.16x = 8,474.84 × 3,346.66
  4. Step 4: Simplify right side
    6,141.16x = 28,362,408.03
  5. Step 5: Solve for x
    x = 28,362,408.03/6,141.16
  6. Step 6: Final answer
    x = 4,618.41

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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.