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Finding the Fourth Proportional to 3,774.70, 5,209.14 and 2,282.35

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Solution

The fourth proportional to 3,774.70, 5,209.14 and 2,282.35 is: 3,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.70 : 5,209.14 = 2,282.35 : x
  2. Step 2: Convert to fraction form
    3,774.70/5,209.14 = 2,282.35/x
  3. Step 3: Cross multiply
    3,774.70x = 5,209.14 × 2,282.35
  4. Step 4: Simplify right side
    3,774.70x = 11,889,080.68
  5. Step 5: Solve for x
    x = 11,889,080.68/3,774.70
  6. Step 6: Final answer
    x = 3,149.68

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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.