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Finding the Fourth Proportional to 5,269.70, 7,270.41 and 3,382.30

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Solution

The fourth proportional to 5,269.70, 7,270.41 and 3,382.30 is: 4,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.70 : 7,270.41 = 3,382.30 : x
  2. Step 2: Convert to fraction form
    5,269.70/7,270.41 = 3,382.30/x
  3. Step 3: Cross multiply
    5,269.70x = 7,270.41 × 3,382.30
  4. Step 4: Simplify right side
    5,269.70x = 24,590,707.74
  5. Step 5: Solve for x
    x = 24,590,707.74/5,269.70
  6. Step 6: Final answer
    x = 4,666.43

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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.