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Finding the Fourth Proportional to 3,647.80, 5,471.70 and 3,230.20

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Solution

The fourth proportional to 3,647.80, 5,471.70 and 3,230.20 is: 4,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.80 : 5,471.70 = 3,230.20 : x
  2. Step 2: Convert to fraction form
    3,647.80/5,471.70 = 3,230.20/x
  3. Step 3: Cross multiply
    3,647.80x = 5,471.70 × 3,230.20
  4. Step 4: Simplify right side
    3,647.80x = 17,674,685.34
  5. Step 5: Solve for x
    x = 17,674,685.34/3,647.80
  6. Step 6: Final answer
    x = 4,845.30

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1.5x scale

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.