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Finding the Fourth Proportional to 3,832.48, 5,744.76 and 2,600

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Solution

The fourth proportional to 3,832.48, 5,744.76 and 2,600 is: 3,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.48 : 5,744.76 = 2,600 : x
  2. Step 2: Convert to fraction form
    3,832.48/5,744.76 = 2,600/x
  3. Step 3: Cross multiply
    3,832.48x = 5,744.76 × 2,600
  4. Step 4: Simplify right side
    3,832.48x = 14,936,376
  5. Step 5: Solve for x
    x = 14,936,376/3,832.48
  6. Step 6: Final answer
    x = 3,897.31

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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.