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Finding the Fourth Proportional to 4,855.98, 7,283.97 and 2,257.50

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Solution

The fourth proportional to 4,855.98, 7,283.97 and 2,257.50 is: 3,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.98 : 7,283.97 = 2,257.50 : x
  2. Step 2: Convert to fraction form
    4,855.98/7,283.97 = 2,257.50/x
  3. Step 3: Cross multiply
    4,855.98x = 7,283.97 × 2,257.50
  4. Step 4: Simplify right side
    4,855.98x = 16,443,562.28
  5. Step 5: Solve for x
    x = 16,443,562.28/4,855.98
  6. Step 6: Final answer
    x = 3,386.25

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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.