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Finding the Fourth Proportional to 5,294.48, 7,306.14 and 2,936.60

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Solution

The fourth proportional to 5,294.48, 7,306.14 and 2,936.60 is: 4,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.48 : 7,306.14 = 2,936.60 : x
  2. Step 2: Convert to fraction form
    5,294.48/7,306.14 = 2,936.60/x
  3. Step 3: Cross multiply
    5,294.48x = 7,306.14 × 2,936.60
  4. Step 4: Simplify right side
    5,294.48x = 21,455,210.72
  5. Step 5: Solve for x
    x = 21,455,210.72/5,294.48
  6. Step 6: Final answer
    x = 4,052.37

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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.