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Finding the Fourth Proportional to 3,573.86, 4,931.94 and 2,082.80

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Solution

The fourth proportional to 3,573.86, 4,931.94 and 2,082.80 is: 2,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.86 : 4,931.94 = 2,082.80 : x
  2. Step 2: Convert to fraction form
    3,573.86/4,931.94 = 2,082.80/x
  3. Step 3: Cross multiply
    3,573.86x = 4,931.94 × 2,082.80
  4. Step 4: Simplify right side
    3,573.86x = 10,272,209.56
  5. Step 5: Solve for x
    x = 10,272,209.56/3,573.86
  6. Step 6: Final answer
    x = 2,874.27

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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.