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Finding the Fourth Proportional to 5,677.94, 8,515.90 and 1,728.24

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Solution

The fourth proportional to 5,677.94, 8,515.90 and 1,728.24 is: 2,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.94 : 8,515.90 = 1,728.24 : x
  2. Step 2: Convert to fraction form
    5,677.94/8,515.90 = 1,728.24/x
  3. Step 3: Cross multiply
    5,677.94x = 8,515.90 × 1,728.24
  4. Step 4: Simplify right side
    5,677.94x = 14,717,519.02
  5. Step 5: Solve for x
    x = 14,717,519.02/5,677.94
  6. Step 6: Final answer
    x = 2,592.05

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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.