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Finding the Fourth Proportional to 4,197.85, 5,793.17 and 2,309.50

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Solution

The fourth proportional to 4,197.85, 5,793.17 and 2,309.50 is: 3,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.85 : 5,793.17 = 2,309.50 : x
  2. Step 2: Convert to fraction form
    4,197.85/5,793.17 = 2,309.50/x
  3. Step 3: Cross multiply
    4,197.85x = 5,793.17 × 2,309.50
  4. Step 4: Simplify right side
    4,197.85x = 13,379,326.12
  5. Step 5: Solve for x
    x = 13,379,326.12/4,197.85
  6. Step 6: Final answer
    x = 3,187.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.