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Finding the Fourth Proportional to 5,382.17, 7,431.02 and 4,813.24

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Solution

The fourth proportional to 5,382.17, 7,431.02 and 4,813.24 is: 6,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.17 : 7,431.02 = 4,813.24 : x
  2. Step 2: Convert to fraction form
    5,382.17/7,431.02 = 4,813.24/x
  3. Step 3: Cross multiply
    5,382.17x = 7,431.02 × 4,813.24
  4. Step 4: Simplify right side
    5,382.17x = 35,767,282.70
  5. Step 5: Solve for x
    x = 35,767,282.70/5,382.17
  6. Step 6: Final answer
    x = 6,645.51

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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.