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Finding the Fourth Proportional to 4,450.54, 6,142.06 and 2,461.05

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Solution

The fourth proportional to 4,450.54, 6,142.06 and 2,461.05 is: 3,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450.54 : 6,142.06 = 2,461.05 : x
  2. Step 2: Convert to fraction form
    4,450.54/6,142.06 = 2,461.05/x
  3. Step 3: Cross multiply
    4,450.54x = 6,142.06 × 2,461.05
  4. Step 4: Simplify right side
    4,450.54x = 15,115,916.76
  5. Step 5: Solve for x
    x = 15,115,916.76/4,450.54
  6. Step 6: Final answer
    x = 3,396.42

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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.