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Finding the Fourth Proportional to 3,193.72, 4,800.30 and 2,338.36

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Solution

The fourth proportional to 3,193.72, 4,800.30 and 2,338.36 is: 3,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.72 : 4,800.30 = 2,338.36 : x
  2. Step 2: Convert to fraction form
    3,193.72/4,800.30 = 2,338.36/x
  3. Step 3: Cross multiply
    3,193.72x = 4,800.30 × 2,338.36
  4. Step 4: Simplify right side
    3,193.72x = 11,224,829.51
  5. Step 5: Solve for x
    x = 11,224,829.51/3,193.72
  6. Step 6: Final answer
    x = 3,514.66

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