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Finding the Fourth Proportional to 5,794.77, 7,978.41 and 4,534.23

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Solution

The fourth proportional to 5,794.77, 7,978.41 and 4,534.23 is: 6,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.77 : 7,978.41 = 4,534.23 : x
  2. Step 2: Convert to fraction form
    5,794.77/7,978.41 = 4,534.23/x
  3. Step 3: Cross multiply
    5,794.77x = 7,978.41 × 4,534.23
  4. Step 4: Simplify right side
    5,794.77x = 36,175,945.97
  5. Step 5: Solve for x
    x = 36,175,945.97/5,794.77
  6. Step 6: Final answer
    x = 6,242.86

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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.