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Finding the Fourth Proportional to 5,295.38, 7,943.06 and 1,832.63

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Solution

The fourth proportional to 5,295.38, 7,943.06 and 1,832.63 is: 2,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.38 : 7,943.06 = 1,832.63 : x
  2. Step 2: Convert to fraction form
    5,295.38/7,943.06 = 1,832.63/x
  3. Step 3: Cross multiply
    5,295.38x = 7,943.06 × 1,832.63
  4. Step 4: Simplify right side
    5,295.38x = 14,556,654.91
  5. Step 5: Solve for x
    x = 14,556,654.91/5,295.38
  6. Step 6: Final answer
    x = 2,748.94

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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.