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Finding the Fourth Proportional to 4,266, 5,883.30 and 2,772.50

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Solution

The fourth proportional to 4,266, 5,883.30 and 2,772.50 is: 3,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266 : 5,883.30 = 2,772.50 : x
  2. Step 2: Convert to fraction form
    4,266/5,883.30 = 2,772.50/x
  3. Step 3: Cross multiply
    4,266x = 5,883.30 × 2,772.50
  4. Step 4: Simplify right side
    4,266x = 16,311,419.83
  5. Step 5: Solve for x
    x = 16,311,419.83/4,266
  6. Step 6: Final answer
    x = 3,823.59

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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.