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Finding the Fourth Proportional to 5,221.80, 7,832.49 and 1,712.07

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Solution

The fourth proportional to 5,221.80, 7,832.49 and 1,712.07 is: 2,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.80 : 7,832.49 = 1,712.07 : x
  2. Step 2: Convert to fraction form
    5,221.80/7,832.49 = 1,712.07/x
  3. Step 3: Cross multiply
    5,221.80x = 7,832.49 × 1,712.07
  4. Step 4: Simplify right side
    5,221.80x = 13,409,771.15
  5. Step 5: Solve for x
    x = 13,409,771.15/5,221.80
  6. Step 6: Final answer
    x = 2,568.04

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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.