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Finding the Fourth Proportional to 5,704.42, 8,570.46 and 5,389.73

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Solution

The fourth proportional to 5,704.42, 8,570.46 and 5,389.73 is: 8,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.42 : 8,570.46 = 5,389.73 : x
  2. Step 2: Convert to fraction form
    5,704.42/8,570.46 = 5,389.73/x
  3. Step 3: Cross multiply
    5,704.42x = 8,570.46 × 5,389.73
  4. Step 4: Simplify right side
    5,704.42x = 46,192,465.38
  5. Step 5: Solve for x
    x = 46,192,465.38/5,704.42
  6. Step 6: Final answer
    x = 8,097.66

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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.