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Finding the Fourth Proportional to 5,382.59, 7,427.31 and 3,114.32

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Solution

The fourth proportional to 5,382.59, 7,427.31 and 3,114.32 is: 4,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.59 : 7,427.31 = 3,114.32 : x
  2. Step 2: Convert to fraction form
    5,382.59/7,427.31 = 3,114.32/x
  3. Step 3: Cross multiply
    5,382.59x = 7,427.31 × 3,114.32
  4. Step 4: Simplify right side
    5,382.59x = 23,131,020.08
  5. Step 5: Solve for x
    x = 23,131,020.08/5,382.59
  6. Step 6: Final answer
    x = 4,297.38

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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.