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Finding the Fourth Proportional to 3,596.86, 4,965.06 and 2,811.16

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Solution

The fourth proportional to 3,596.86, 4,965.06 and 2,811.16 is: 3,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.86 : 4,965.06 = 2,811.16 : x
  2. Step 2: Convert to fraction form
    3,596.86/4,965.06 = 2,811.16/x
  3. Step 3: Cross multiply
    3,596.86x = 4,965.06 × 2,811.16
  4. Step 4: Simplify right side
    3,596.86x = 13,957,578.07
  5. Step 5: Solve for x
    x = 13,957,578.07/3,596.86
  6. Step 6: Final answer
    x = 3,880.49

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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.