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Finding the Fourth Proportional to 3,774.06, 5,208.30 and 2,281.68

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Solution

The fourth proportional to 3,774.06, 5,208.30 and 2,281.68 is: 3,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.06 : 5,208.30 = 2,281.68 : x
  2. Step 2: Convert to fraction form
    3,774.06/5,208.30 = 2,281.68/x
  3. Step 3: Cross multiply
    3,774.06x = 5,208.30 × 2,281.68
  4. Step 4: Simplify right side
    3,774.06x = 11,883,673.94
  5. Step 5: Solve for x
    x = 11,883,673.94/3,774.06
  6. Step 6: Final answer
    x = 3,148.78

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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.