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Finding the Fourth Proportional to 5,686.80, 7,847.68 and 3,202.80

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Solution

The fourth proportional to 5,686.80, 7,847.68 and 3,202.80 is: 4,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.80 : 7,847.68 = 3,202.80 : x
  2. Step 2: Convert to fraction form
    5,686.80/7,847.68 = 3,202.80/x
  3. Step 3: Cross multiply
    5,686.80x = 7,847.68 × 3,202.80
  4. Step 4: Simplify right side
    5,686.80x = 25,134,549.50
  5. Step 5: Solve for x
    x = 25,134,549.50/5,686.80
  6. Step 6: Final answer
    x = 4,419.81

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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.