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Finding the Fourth Proportional to 4,954.54, 6,832.16 and 3,461.91

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Solution

The fourth proportional to 4,954.54, 6,832.16 and 3,461.91 is: 4,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.54 : 6,832.16 = 3,461.91 : x
  2. Step 2: Convert to fraction form
    4,954.54/6,832.16 = 3,461.91/x
  3. Step 3: Cross multiply
    4,954.54x = 6,832.16 × 3,461.91
  4. Step 4: Simplify right side
    4,954.54x = 23,652,314.37
  5. Step 5: Solve for x
    x = 23,652,314.37/4,954.54
  6. Step 6: Final answer
    x = 4,773.87

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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.