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Finding the Fourth Proportional to 4,167.80, 5,751.92 and 2,596.12

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Solution

The fourth proportional to 4,167.80, 5,751.92 and 2,596.12 is: 3,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.80 : 5,751.92 = 2,596.12 : x
  2. Step 2: Convert to fraction form
    4,167.80/5,751.92 = 2,596.12/x
  3. Step 3: Cross multiply
    4,167.80x = 5,751.92 × 2,596.12
  4. Step 4: Simplify right side
    4,167.80x = 14,932,674.55
  5. Step 5: Solve for x
    x = 14,932,674.55/4,167.80
  6. Step 6: Final answer
    x = 3,582.87

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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.