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Finding the Fourth Proportional to 5,333.57, 7,983.92 and 3,480.69

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Solution

The fourth proportional to 5,333.57, 7,983.92 and 3,480.69 is: 5,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.57 : 7,983.92 = 3,480.69 : x
  2. Step 2: Convert to fraction form
    5,333.57/7,983.92 = 3,480.69/x
  3. Step 3: Cross multiply
    5,333.57x = 7,983.92 × 3,480.69
  4. Step 4: Simplify right side
    5,333.57x = 27,789,533.10
  5. Step 5: Solve for x
    x = 27,789,533.10/5,333.57
  6. Step 6: Final answer
    x = 5,210.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.