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Finding the Fourth Proportional to 3,814.77, 5,721.69 and 1,732.56

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Solution

The fourth proportional to 3,814.77, 5,721.69 and 1,732.56 is: 2,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.77 : 5,721.69 = 1,732.56 : x
  2. Step 2: Convert to fraction form
    3,814.77/5,721.69 = 1,732.56/x
  3. Step 3: Cross multiply
    3,814.77x = 5,721.69 × 1,732.56
  4. Step 4: Simplify right side
    3,814.77x = 9,913,171.23
  5. Step 5: Solve for x
    x = 9,913,171.23/3,814.77
  6. Step 6: Final answer
    x = 2,598.63

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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.