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Finding the Fourth Proportional to 5,191.32, 7,786.98 and 1,728.57

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Solution

The fourth proportional to 5,191.32, 7,786.98 and 1,728.57 is: 2,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.32 : 7,786.98 = 1,728.57 : x
  2. Step 2: Convert to fraction form
    5,191.32/7,786.98 = 1,728.57/x
  3. Step 3: Cross multiply
    5,191.32x = 7,786.98 × 1,728.57
  4. Step 4: Simplify right side
    5,191.32x = 13,460,340.02
  5. Step 5: Solve for x
    x = 13,460,340.02/5,191.32
  6. Step 6: Final answer
    x = 2,592.86

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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.