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Finding the Fourth Proportional to 3,548.88, 4,891.46 and 2,427.89

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Solution

The fourth proportional to 3,548.88, 4,891.46 and 2,427.89 is: 3,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.88 : 4,891.46 = 2,427.89 : x
  2. Step 2: Convert to fraction form
    3,548.88/4,891.46 = 2,427.89/x
  3. Step 3: Cross multiply
    3,548.88x = 4,891.46 × 2,427.89
  4. Step 4: Simplify right side
    3,548.88x = 11,875,890.22
  5. Step 5: Solve for x
    x = 11,875,890.22/3,548.88
  6. Step 6: Final answer
    x = 3,346.38

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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.