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Finding the Fourth Proportional to 5,711.50, 8,570.49 and 2,633.50

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Solution

The fourth proportional to 5,711.50, 8,570.49 and 2,633.50 is: 3,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.50 : 8,570.49 = 2,633.50 : x
  2. Step 2: Convert to fraction form
    5,711.50/8,570.49 = 2,633.50/x
  3. Step 3: Cross multiply
    5,711.50x = 8,570.49 × 2,633.50
  4. Step 4: Simplify right side
    5,711.50x = 22,570,385.42
  5. Step 5: Solve for x
    x = 22,570,385.42/5,711.50
  6. Step 6: Final answer
    x = 3,951.74

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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.