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Finding the Fourth Proportional to 4,836.97, 7,257.55 and 1,877.48

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Solution

The fourth proportional to 4,836.97, 7,257.55 and 1,877.48 is: 2,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.97 : 7,257.55 = 1,877.48 : x
  2. Step 2: Convert to fraction form
    4,836.97/7,257.55 = 1,877.48/x
  3. Step 3: Cross multiply
    4,836.97x = 7,257.55 × 1,877.48
  4. Step 4: Simplify right side
    4,836.97x = 13,625,894.73
  5. Step 5: Solve for x
    x = 13,625,894.73/4,836.97
  6. Step 6: Final answer
    x = 2,817.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.