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Finding the Fourth Proportional to 5,965.57, 8,950.88 and 3,191.50

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Solution

The fourth proportional to 5,965.57, 8,950.88 and 3,191.50 is: 4,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.57 : 8,950.88 = 3,191.50 : x
  2. Step 2: Convert to fraction form
    5,965.57/8,950.88 = 3,191.50/x
  3. Step 3: Cross multiply
    5,965.57x = 8,950.88 × 3,191.50
  4. Step 4: Simplify right side
    5,965.57x = 28,566,733.52
  5. Step 5: Solve for x
    x = 28,566,733.52/5,965.57
  6. Step 6: Final answer
    x = 4,788.60

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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.