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Finding the Fourth Proportional to 4,384.76, 6,039.24 and 3,717.56

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Solution

The fourth proportional to 4,384.76, 6,039.24 and 3,717.56 is: 5,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.76 : 6,039.24 = 3,717.56 : x
  2. Step 2: Convert to fraction form
    4,384.76/6,039.24 = 3,717.56/x
  3. Step 3: Cross multiply
    4,384.76x = 6,039.24 × 3,717.56
  4. Step 4: Simplify right side
    4,384.76x = 22,451,237.05
  5. Step 5: Solve for x
    x = 22,451,237.05/4,384.76
  6. Step 6: Final answer
    x = 5,120.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.