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Finding the Fourth Proportional to 4,240.88, 5,853 and 2,378

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Solution

The fourth proportional to 4,240.88, 5,853 and 2,378 is: 3,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.88 : 5,853 = 2,378 : x
  2. Step 2: Convert to fraction form
    4,240.88/5,853 = 2,378/x
  3. Step 3: Cross multiply
    4,240.88x = 5,853 × 2,378
  4. Step 4: Simplify right side
    4,240.88x = 13,918,434
  5. Step 5: Solve for x
    x = 13,918,434/4,240.88
  6. Step 6: Final answer
    x = 3,281.97

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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.