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Finding the Fourth Proportional to 5,294.96, 7,306.74 and 2,936.96

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Solution

The fourth proportional to 5,294.96, 7,306.74 and 2,936.96 is: 4,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.96 : 7,306.74 = 2,936.96 : x
  2. Step 2: Convert to fraction form
    5,294.96/7,306.74 = 2,936.96/x
  3. Step 3: Cross multiply
    5,294.96x = 7,306.74 × 2,936.96
  4. Step 4: Simplify right side
    5,294.96x = 21,459,603.11
  5. Step 5: Solve for x
    x = 21,459,603.11/5,294.96
  6. Step 6: Final answer
    x = 4,052.84

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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.