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Finding the Fourth Proportional to 5,882.07, 8,765.82 and 5,704.08

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Solution

The fourth proportional to 5,882.07, 8,765.82 and 5,704.08 is: 8,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.07 : 8,765.82 = 5,704.08 : x
  2. Step 2: Convert to fraction form
    5,882.07/8,765.82 = 5,704.08/x
  3. Step 3: Cross multiply
    5,882.07x = 8,765.82 × 5,704.08
  4. Step 4: Simplify right side
    5,882.07x = 50,000,938.55
  5. Step 5: Solve for x
    x = 50,000,938.55/5,882.07
  6. Step 6: Final answer
    x = 8,500.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.