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Finding the Fourth Proportional to 3,955.05, 5,457.87 and 2,276.42

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Solution

The fourth proportional to 3,955.05, 5,457.87 and 2,276.42 is: 3,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.05 : 5,457.87 = 2,276.42 : x
  2. Step 2: Convert to fraction form
    3,955.05/5,457.87 = 2,276.42/x
  3. Step 3: Cross multiply
    3,955.05x = 5,457.87 × 2,276.42
  4. Step 4: Simplify right side
    3,955.05x = 12,424,377.14
  5. Step 5: Solve for x
    x = 12,424,377.14/3,955.05
  6. Step 6: Final answer
    x = 3,141.40

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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.