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Finding the Fourth Proportional to 3,864.35, 5,797.53 and 1,672.56

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Solution

The fourth proportional to 3,864.35, 5,797.53 and 1,672.56 is: 2,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.35 : 5,797.53 = 1,672.56 : x
  2. Step 2: Convert to fraction form
    3,864.35/5,797.53 = 1,672.56/x
  3. Step 3: Cross multiply
    3,864.35x = 5,797.53 × 1,672.56
  4. Step 4: Simplify right side
    3,864.35x = 9,696,716.78
  5. Step 5: Solve for x
    x = 9,696,716.78/3,864.35
  6. Step 6: Final answer
    x = 2,509.28

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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.