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Finding the Fourth Proportional to 5,294.31, 7,305.94 and 2,936.40

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Solution

The fourth proportional to 5,294.31, 7,305.94 and 2,936.40 is: 4,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.31 : 7,305.94 = 2,936.40 : x
  2. Step 2: Convert to fraction form
    5,294.31/7,305.94 = 2,936.40/x
  3. Step 3: Cross multiply
    5,294.31x = 7,305.94 × 2,936.40
  4. Step 4: Simplify right side
    5,294.31x = 21,453,165.89
  5. Step 5: Solve for x
    x = 21,453,165.89/5,294.31
  6. Step 6: Final answer
    x = 4,052.12

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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.