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Finding the Fourth Proportional to 3,774.48, 5,208.75 and 2,202.81

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Solution

The fourth proportional to 3,774.48, 5,208.75 and 2,202.81 is: 3,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.48 : 5,208.75 = 2,202.81 : x
  2. Step 2: Convert to fraction form
    3,774.48/5,208.75 = 2,202.81/x
  3. Step 3: Cross multiply
    3,774.48x = 5,208.75 × 2,202.81
  4. Step 4: Simplify right side
    3,774.48x = 11,473,886.59
  5. Step 5: Solve for x
    x = 11,473,886.59/3,774.48
  6. Step 6: Final answer
    x = 3,039.86

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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.