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Finding the Fourth Proportional to 3,917.34, 5,409.20 and 2,596.94

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Solution

The fourth proportional to 3,917.34, 5,409.20 and 2,596.94 is: 3,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.34 : 5,409.20 = 2,596.94 : x
  2. Step 2: Convert to fraction form
    3,917.34/5,409.20 = 2,596.94/x
  3. Step 3: Cross multiply
    3,917.34x = 5,409.20 × 2,596.94
  4. Step 4: Simplify right side
    3,917.34x = 14,047,367.85
  5. Step 5: Solve for x
    x = 14,047,367.85/3,917.34
  6. Step 6: Final answer
    x = 3,585.95

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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.