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Finding the Fourth Proportional to 5,382.65, 7,428.14 and 3,024.79

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Solution

The fourth proportional to 5,382.65, 7,428.14 and 3,024.79 is: 4,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.65 : 7,428.14 = 3,024.79 : x
  2. Step 2: Convert to fraction form
    5,382.65/7,428.14 = 3,024.79/x
  3. Step 3: Cross multiply
    5,382.65x = 7,428.14 × 3,024.79
  4. Step 4: Simplify right side
    5,382.65x = 22,468,511.33
  5. Step 5: Solve for x
    x = 22,468,511.33/5,382.65
  6. Step 6: Final answer
    x = 4,174.25

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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.