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Finding the Fourth Proportional to 5,747.36, 7,930.76 and 3,509.87

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Solution

The fourth proportional to 5,747.36, 7,930.76 and 3,509.87 is: 4,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.36 : 7,930.76 = 3,509.87 : x
  2. Step 2: Convert to fraction form
    5,747.36/7,930.76 = 3,509.87/x
  3. Step 3: Cross multiply
    5,747.36x = 7,930.76 × 3,509.87
  4. Step 4: Simplify right side
    5,747.36x = 27,835,879.40
  5. Step 5: Solve for x
    x = 27,835,879.40/5,747.36
  6. Step 6: Final answer
    x = 4,843.25

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1.5x scale

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.