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Finding the Fourth Proportional to 5,382.56, 7,428.64 and 3,024.80

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Solution

The fourth proportional to 5,382.56, 7,428.64 and 3,024.80 is: 4,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.56 : 7,428.64 = 3,024.80 : x
  2. Step 2: Convert to fraction form
    5,382.56/7,428.64 = 3,024.80/x
  3. Step 3: Cross multiply
    5,382.56x = 7,428.64 × 3,024.80
  4. Step 4: Simplify right side
    5,382.56x = 22,470,150.27
  5. Step 5: Solve for x
    x = 22,470,150.27/5,382.56
  6. Step 6: Final answer
    x = 4,174.62

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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.