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Finding the Fourth Proportional to 5,294.36, 7,304.76 and 3,305.24

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Solution

The fourth proportional to 5,294.36, 7,304.76 and 3,305.24 is: 4,560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.36 : 7,304.76 = 3,305.24 : x
  2. Step 2: Convert to fraction form
    5,294.36/7,304.76 = 3,305.24/x
  3. Step 3: Cross multiply
    5,294.36x = 7,304.76 × 3,305.24
  4. Step 4: Simplify right side
    5,294.36x = 24,143,984.94
  5. Step 5: Solve for x
    x = 24,143,984.94/5,294.36
  6. Step 6: Final answer
    x = 4,560.32

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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.