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Finding the Fourth Proportional to 7,191.50, 10,771.67 and 3,485.98

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Solution

The fourth proportional to 7,191.50, 10,771.67 and 3,485.98 is: 5,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.50 : 10,771.67 = 3,485.98 : x
  2. Step 2: Convert to fraction form
    7,191.50/10,771.67 = 3,485.98/x
  3. Step 3: Cross multiply
    7,191.50x = 10,771.67 × 3,485.98
  4. Step 4: Simplify right side
    7,191.50x = 37,549,826.19
  5. Step 5: Solve for x
    x = 37,549,826.19/7,191.50
  6. Step 6: Final answer
    x = 5,221.42

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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.