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Finding the Fourth Proportional to 3,836.80, 5,756.04 and 2,278.23

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Solution

The fourth proportional to 3,836.80, 5,756.04 and 2,278.23 is: 3,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.80 : 5,756.04 = 2,278.23 : x
  2. Step 2: Convert to fraction form
    3,836.80/5,756.04 = 2,278.23/x
  3. Step 3: Cross multiply
    3,836.80x = 5,756.04 × 2,278.23
  4. Step 4: Simplify right side
    3,836.80x = 13,113,583.01
  5. Step 5: Solve for x
    x = 13,113,583.01/3,836.80
  6. Step 6: Final answer
    x = 3,417.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.