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Finding the Fourth Proportional to 3,957.79, 5,459.74 and 3,676.38

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Solution

The fourth proportional to 3,957.79, 5,459.74 and 3,676.38 is: 5,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.79 : 5,459.74 = 3,676.38 : x
  2. Step 2: Convert to fraction form
    3,957.79/5,459.74 = 3,676.38/x
  3. Step 3: Cross multiply
    3,957.79x = 5,459.74 × 3,676.38
  4. Step 4: Simplify right side
    3,957.79x = 20,072,078.94
  5. Step 5: Solve for x
    x = 20,072,078.94/3,957.79
  6. Step 6: Final answer
    x = 5,071.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.