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Finding the Fourth Proportional to 3,449.23, 5,173.89 and 852.19

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Solution

The fourth proportional to 3,449.23, 5,173.89 and 852.19 is: 1,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.23 : 5,173.89 = 852.19 : x
  2. Step 2: Convert to fraction form
    3,449.23/5,173.89 = 852.19/x
  3. Step 3: Cross multiply
    3,449.23x = 5,173.89 × 852.19
  4. Step 4: Simplify right side
    3,449.23x = 4,409,137.32
  5. Step 5: Solve for x
    x = 4,409,137.32/3,449.23
  6. Step 6: Final answer
    x = 1,278.30

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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.