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Finding the Fourth Proportional to 4,281.75, 5,908.82 and 2,419.11

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Solution

The fourth proportional to 4,281.75, 5,908.82 and 2,419.11 is: 3,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.75 : 5,908.82 = 2,419.11 : x
  2. Step 2: Convert to fraction form
    4,281.75/5,908.82 = 2,419.11/x
  3. Step 3: Cross multiply
    4,281.75x = 5,908.82 × 2,419.11
  4. Step 4: Simplify right side
    4,281.75x = 14,294,073.45
  5. Step 5: Solve for x
    x = 14,294,073.45/4,281.75
  6. Step 6: Final answer
    x = 3,338.37

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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.