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Finding the Fourth Proportional to 3,820.57, 5,265.69 and 3,288.13

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Solution

The fourth proportional to 3,820.57, 5,265.69 and 3,288.13 is: 4,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.57 : 5,265.69 = 3,288.13 : x
  2. Step 2: Convert to fraction form
    3,820.57/5,265.69 = 3,288.13/x
  3. Step 3: Cross multiply
    3,820.57x = 5,265.69 × 3,288.13
  4. Step 4: Simplify right side
    3,820.57x = 17,314,273.26
  5. Step 5: Solve for x
    x = 17,314,273.26/3,820.57
  6. Step 6: Final answer
    x = 4,531.86

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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.