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Finding the Fourth Proportional to 5,382.26, 7,428.38 and 4,484.56

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Solution

The fourth proportional to 5,382.26, 7,428.38 and 4,484.56 is: 6,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.26 : 7,428.38 = 4,484.56 : x
  2. Step 2: Convert to fraction form
    5,382.26/7,428.38 = 4,484.56/x
  3. Step 3: Cross multiply
    5,382.26x = 7,428.38 × 4,484.56
  4. Step 4: Simplify right side
    5,382.26x = 33,313,015.81
  5. Step 5: Solve for x
    x = 33,313,015.81/5,382.26
  6. Step 6: Final answer
    x = 6,189.41

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Why These Related Problems?

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