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Finding the Fourth Proportional to 3,843.30, 5,764.23 and 2,302.50

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Solution

The fourth proportional to 3,843.30, 5,764.23 and 2,302.50 is: 3,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.30 : 5,764.23 = 2,302.50 : x
  2. Step 2: Convert to fraction form
    3,843.30/5,764.23 = 2,302.50/x
  3. Step 3: Cross multiply
    3,843.30x = 5,764.23 × 2,302.50
  4. Step 4: Simplify right side
    3,843.30x = 13,272,139.58
  5. Step 5: Solve for x
    x = 13,272,139.58/3,843.30
  6. Step 6: Final answer
    x = 3,453.32

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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.