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Finding the Fourth Proportional to 4,257.40, 5,874.86 and 2,488.82

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Solution

The fourth proportional to 4,257.40, 5,874.86 and 2,488.82 is: 3,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.40 : 5,874.86 = 2,488.82 : x
  2. Step 2: Convert to fraction form
    4,257.40/5,874.86 = 2,488.82/x
  3. Step 3: Cross multiply
    4,257.40x = 5,874.86 × 2,488.82
  4. Step 4: Simplify right side
    4,257.40x = 14,621,469.07
  5. Step 5: Solve for x
    x = 14,621,469.07/4,257.40
  6. Step 6: Final answer
    x = 3,434.37

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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.