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Finding the Fourth Proportional to 5,686.06, 7,846.78 and 3,202.06

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Solution

The fourth proportional to 5,686.06, 7,846.78 and 3,202.06 is: 4,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.06 : 7,846.78 = 3,202.06 : x
  2. Step 2: Convert to fraction form
    5,686.06/7,846.78 = 3,202.06/x
  3. Step 3: Cross multiply
    5,686.06x = 7,846.78 × 3,202.06
  4. Step 4: Simplify right side
    5,686.06x = 25,125,860.37
  5. Step 5: Solve for x
    x = 25,125,860.37/5,686.06
  6. Step 6: Final answer
    x = 4,418.85

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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.