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Finding the Fourth Proportional to 5,382.90, 7,428.42 and 3,144.87

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Solution

The fourth proportional to 5,382.90, 7,428.42 and 3,144.87 is: 4,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.90 : 7,428.42 = 3,144.87 : x
  2. Step 2: Convert to fraction form
    5,382.90/7,428.42 = 3,144.87/x
  3. Step 3: Cross multiply
    5,382.90x = 7,428.42 × 3,144.87
  4. Step 4: Simplify right side
    5,382.90x = 23,361,415.21
  5. Step 5: Solve for x
    x = 23,361,415.21/5,382.90
  6. Step 6: Final answer
    x = 4,339.93

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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.