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Finding the Fourth Proportional to 5,704.02, 8,560.89 and 5,674.86

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Solution

The fourth proportional to 5,704.02, 8,560.89 and 5,674.86 is: 8,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.02 : 8,560.89 = 5,674.86 : x
  2. Step 2: Convert to fraction form
    5,704.02/8,560.89 = 5,674.86/x
  3. Step 3: Cross multiply
    5,704.02x = 8,560.89 × 5,674.86
  4. Step 4: Simplify right side
    5,704.02x = 48,581,852.23
  5. Step 5: Solve for x
    x = 48,581,852.23/5,704.02
  6. Step 6: Final answer
    x = 8,517.13

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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.