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Finding the Fourth Proportional to 3,808.80, 5,714.28 and 2,309.49

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Solution

The fourth proportional to 3,808.80, 5,714.28 and 2,309.49 is: 3,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.80 : 5,714.28 = 2,309.49 : x
  2. Step 2: Convert to fraction form
    3,808.80/5,714.28 = 2,309.49/x
  3. Step 3: Cross multiply
    3,808.80x = 5,714.28 × 2,309.49
  4. Step 4: Simplify right side
    3,808.80x = 13,197,072.52
  5. Step 5: Solve for x
    x = 13,197,072.52/3,808.80
  6. Step 6: Final answer
    x = 3,464.89

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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.