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Finding the Fourth Proportional to 3,962.96, 5,457.85 and 3,063.38

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Solution

The fourth proportional to 3,962.96, 5,457.85 and 3,063.38 is: 4,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.96 : 5,457.85 = 3,063.38 : x
  2. Step 2: Convert to fraction form
    3,962.96/5,457.85 = 3,063.38/x
  3. Step 3: Cross multiply
    3,962.96x = 5,457.85 × 3,063.38
  4. Step 4: Simplify right side
    3,962.96x = 16,719,468.53
  5. Step 5: Solve for x
    x = 16,719,468.53/3,962.96
  6. Step 6: Final answer
    x = 4,218.93

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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.